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137030064 = 24317307547
BaseRepresentation
bin10000010101011…
…10100110110000
3100112211211220120
420022232212300
5240034430224
621333010240
73252510363
oct1012564660
9315754816
10137030064
1170393796
1239a83980
132250a5a2
14142b00da
15c06b779
hex82ae9b0

137030064 has 80 divisors (see below), whose sum is σ = 376725888. Its totient is φ = 42771456.

The previous prime is 137030059. The next prime is 137030083. The reversal of 137030064 is 460030731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250239 + ... + 250785.

Almost surely, 2137030064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188362944).

137030064 is an abundant number, since it is smaller than the sum of its proper divisors (239695824).

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

137030064 is a wasteful number, since it uses less digits than its factorization.

137030064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137030064 is about 11705.9841107017. The cubic root of 137030064 is about 515.5513797995.

Adding to 137030064 its reverse (460030731), we get a palindrome (597060795).

The spelling of 137030064 in words is "one hundred thirty-seven million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 307 408 547 614 816 921 1094 1228 1641 1842 2188 2456 3282 3684 4376 4912 5219 6564 7368 8752 9299 10438 13128 14736 15657 18598 20876 26256 27897 31314 37196 41752 55794 62628 74392 83504 111588 125256 148784 167929 223176 250512 335858 446352 503787 671716 1007574 1343432 2015148 2686864 2854793 4030296 5709586 8060592 8564379 11419172 17128758 22838344 34257516 45676688 68515032 137030064