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137097996 = 2237171931163
BaseRepresentation
bin10000010101111…
…11001100001100
3100112222022002120
420022333030030
5240044113441
621334252540
73253212420
oct1012771414
9315868076
10137097996
117042a832
1239ab7150
1322532499
14142cab80
15c081966
hex82bf30c

137097996 has 192 divisors, whose sum is σ = 423198720. Its totient is φ = 33592320.

The previous prime is 137097931. The next prime is 137097997. The reversal of 137097996 is 699790731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (137097997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841011 + ... + 841173.

It is an arithmetic number, because the mean of its divisors is an integer number (2204160).

Almost surely, 2137097996 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 137097996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211599360).

137097996 is an abundant number, since it is smaller than the sum of its proper divisors (286100724).

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

137097996 is a wasteful number, since it uses less digits than its factorization.

137097996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 51.

The square root of 137097996 is about 11708.8853440454. The cubic root of 137097996 is about 515.6365597702.

The spelling of 137097996 in words is "one hundred thirty-seven million, ninety-seven thousand, nine hundred ninety-six".