137377600152 has 192 divisors, whose sum is σ = 392181004800. Its totient is φ = 39972441600.

The previous prime is 137377600111. The next prime is 137377600193. The reversal of 137377600152 is 251006773731.

It is an interprime number because it is at equal distance from previous prime (137377600111) and next prime (137377600193).

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 47 ways as a sum of consecutive naturals, for example, 54020593 + ... + 54023135.

It is an arithmetic number, because the mean of its divisors is an integer number (2042609400).

Almost surely, 2^137377600152 is an apocalyptic number.

137377600152 is a gapful number since it is divisible by the number (12) 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 137377600152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196090502400).

137377600152 is an abundant number, since it is smaller than the sum of its proper divisors (254803404648).

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

137377600152 is a wasteful number, since it uses less digits than its factorization.

137377600152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The spelling of 137377600152 in words is "one hundred thirty-seven billion, three hundred seventy-seven million, six hundred thousand, one hundred fifty-two".