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137143980 = 223252632897
BaseRepresentation
bin10000010110010…
…10011010101100
3100120001122011200
420023022122230
5240102101410
621335245500
73253463451
oct1013123254
9316048150
10137143980
1170461336
1239b19890
132254a3ac
14142dd828
15c0903c0
hex82ca6ac

137143980 has 72 divisors (see below), whose sum is σ = 417729312. Its totient is φ = 36420096.

The previous prime is 137143973. The next prime is 137143991. The reversal of 137143980 is 89341731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45892 + ... + 48788.

It is an arithmetic number, because the mean of its divisors is an integer number (5801796).

Almost surely, 2137143980 is an apocalyptic number.

137143980 is a gapful number since it is divisible by the number (10) 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 137143980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208864656).

137143980 is an abundant number, since it is smaller than the sum of its proper divisors (280585332).

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

137143980 is a wasteful number, since it uses less digits than its factorization.

137143980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137143980 is about 11710.8488163754. The cubic root of 137143980 is about 515.6942031635.

The spelling of 137143980 in words is "one hundred thirty-seven million, one hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 789 1052 1315 1578 2367 2630 2897 3156 3945 4734 5260 5794 7890 8691 9468 11588 11835 14485 15780 17382 23670 26073 28970 34764 43455 47340 52146 57940 86910 104292 130365 173820 260730 521460 761911 1523822 2285733 3047644 3809555 4571466 6857199 7619110 9142932 11428665 13714398 15238220 22857330 27428796 34285995 45714660 68571990 137143980