137202040979640 has 4096 divisors, whose sum is σ = 648655257600000. Its totient is φ = 24944958111744.

The previous prime is 137202040979599. The next prime is 137202040979669. The reversal of 137202040979640 is 46979040202731.

137202040979640 is a `hidden beast` number, since 1 + 372 + 0 + 20 + 40 + 97 + 96 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 233734311427 + ... + 233734312013.

It is an arithmetic number, because the mean of its divisors is an integer number (158363100000).

Almost surely, 2^{137202040979640} is an apocalyptic number.

137202040979640 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 137202040979640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324327628800000).

137202040979640 is an abundant number, since it is smaller than the sum of its proper divisors (511453216620360).

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

137202040979640 is a wasteful number, since it uses less digits than its factorization.

137202040979640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 137202040979640 in words is "one hundred thirty-seven trillion, two hundred two billion, forty million, nine hundred seventy-nine thousand, six hundred forty".