137877351625728 has 396 divisors, whose sum is σ = 470288827708128. Its totient is φ = 38567086571520.

The previous prime is 137877351625703. The next prime is 137877351625753. The reversal of 137877351625728 is 827526153778731.

137877351625728 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 7 + 35 + 16 + 2 + 572 + 8 = 666.

137877351625728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137877351625703) and next prime (137877351625753).

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13108701 + ... + 21156387.

It is an arithmetic number, because the mean of its divisors is an integer number (1187598049768).

Almost surely, 2^{137877351625728} is an apocalyptic number.

137877351625728 is a gapful number since it is divisible by the number (18) 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 137877351625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235144413854064).

137877351625728 is an abundant number, since it is smaller than the sum of its proper divisors (332411476082400).

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

137877351625728 is a wasteful number, since it uses less digits than its factorization.

137877351625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047750 (or 8047716 counting only the distinct ones).

The product of its digits is 829785600, while the sum is 72.

The spelling of 137877351625728 in words is "one hundred thirty-seven trillion, eight hundred seventy-seven billion, three hundred fifty-one million, six hundred twenty-five thousand, seven hundred twenty-eight".