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137454272250484 = 227297316314226293
BaseRepresentation
bin11111010000001110010001…
…000100100000001001110100
3200000200111111120100121200011
4133100032101010200021310
5121004022322144003414
61204201342042230004
740644513001325350
oct3720162104401164
9600614446317604
10137454272250484
113a885036294a42
12134bb6857b5304
135b90b61413517
1425d2b7246a460
1510d577b137dc4
hex7d0391120274

137454272250484 has 96 divisors (see below), whose sum is σ = 290052510693120. Its totient is φ = 55754317882368.

The previous prime is 137454272250481. The next prime is 137454272250523. The reversal of 137454272250484 is 484052272454731.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137454272250481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2548842 + ... + 16775134.

It is an arithmetic number, because the mean of its divisors is an integer number (3021380319720).

Almost surely, 2137454272250484 is an apocalyptic number.

137454272250484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137454272250484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145026255346560).

137454272250484 is an abundant number, since it is smaller than the sum of its proper divisors (152598238442636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137454272250484 is a wasteful number, since it uses less digits than its factorization.

137454272250484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226569 (or 14226567 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 58.

The spelling of 137454272250484 in words is "one hundred thirty-seven trillion, four hundred fifty-four billion, two hundred seventy-two million, two hundred fifty thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 58 73 116 146 163 203 292 326 406 511 652 812 1022 1141 2044 2117 2282 4234 4564 4727 8468 9454 11899 14819 18908 23798 29638 33089 47596 59276 66178 83293 132356 166586 333172 345071 690142 1380284 2415497 4830994 9661988 14226293 28452586 56905172 99584051 199168102 398336204 412562497 825124994 1038519389 1650249988 2077038778 2318885759 2887937479 4154077556 4637771518 5775874958 7269635723 9275543036 11551749916 14539271446 16232200313 29078542892 30117062281 32464400626 60234124562 64928801252 67247687011 120468249124 134495374022 169278660407 210819435967 268990748044 338557320814 421638871934 470733809077 677114641628 843277743868 941467618154 1184950622849 1882935236308 2369901245698 4739802491396 4909081151803 9818162303606 19636324607212 34363568062621 68727136125242 137454272250484