137645329536 has 640 divisors, whose sum is σ = 484442259840. Its totient is φ = 38247137280.

The previous prime is 137645329529. The next prime is 137645329541. The reversal of 137645329536 is 635923546731.

137645329536 is a `hidden beast` number, since 1 + 3 + 76 + 4 + 5 + 32 + 9 + 536 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389929936 + ... + 389930288.

It is an arithmetic number, because the mean of its divisors is an integer number (756941031).

Almost surely, 2^137645329536 is an apocalyptic number.

137645329536 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 137645329536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242221129920).

137645329536 is an abundant number, since it is smaller than the sum of its proper divisors (346796930304).

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

137645329536 is a wasteful number, since it uses less digits than its factorization.

137645329536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 137645329536 in words is "one hundred thirty-seven billion, six hundred forty-five million, three hundred twenty-nine thousand, five hundred thirty-six".