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137250612 = 2234371072
BaseRepresentation
bin10000010111001…
…00011100110100
3100120021001110000
420023210130310
5240114004422
621341431300
73254416362
oct1013443464
9316231400
10137250612
1170524464
1239b6b530
1322586aa5
141432a632
15c0b1cac
hex82e4734

137250612 has 90 divisors (see below), whose sum is σ = 371973602. Its totient is φ = 44097696.

The previous prime is 137250587. The next prime is 137250613. The reversal of 137250612 is 216052731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 133541136 + 3709476 = 11556^2 + 1926^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137250613) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1282663 + ... + 1282769.

Almost surely, 2137250612 is an apocalyptic number.

137250612 is a gapful number since it is divisible by the number (12) 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 137250612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185986801).

137250612 is an abundant number, since it is smaller than the sum of its proper divisors (234722990).

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

137250612 is a wasteful number, since it uses less digits than its factorization.

137250612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137250612 is about 11715.4006333544. The cubic root of 137250612 is about 515.8278224898.

It can be divided in two parts, 1372 and 50612, that added together give a square (51984 = 2282).

The spelling of 137250612 in words is "one hundred thirty-seven million, two hundred fifty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 107 108 111 148 162 214 222 321 324 333 428 444 642 666 963 999 1284 1332 1926 1998 2889 2997 3852 3959 3996 5778 5994 7918 8667 11449 11556 11877 11988 15836 17334 22898 23754 34347 34668 35631 45796 47508 68694 71262 103041 106893 137388 142524 206082 213786 309123 320679 412164 423613 427572 618246 641358 847226 927369 1236492 1270839 1282716 1694452 1854738 2541678 3709476 3812517 5083356 7625034 11437551 15250068 22875102 34312653 45750204 68625306 137250612