137502573696 has 384 divisors, whose sum is σ = 430998796800. Its totient is φ = 41909059584.

The previous prime is 137502573671. The next prime is 137502573707. The reversal of 137502573696 is 696375205731.

137502573696 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 2 + 573 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×137502573696² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226527825 + ... + 226528431.

It is an arithmetic number, because the mean of its divisors is an integer number (1122392700).

Almost surely, 2^137502573696 is an apocalyptic number.

137502573696 is a gapful number since it is divisible by the number (16) 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 137502573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215499398400).

137502573696 is an abundant number, since it is smaller than the sum of its proper divisors (293496223104).

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

137502573696 is a wasteful number, since it uses less digits than its factorization.

137502573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 137502573696 in words is "one hundred thirty-seven billion, five hundred two million, five hundred seventy-three thousand, six hundred ninety-six".