137616488352 has 240 divisors, whose sum is σ = 464196059712. Its totient is φ = 39178598400.

The previous prime is 137616488351. The next prime is 137616488353. The reversal of 137616488352 is 253884616731.

137616488352 is a `hidden beast` number, since 1 + 376 + 164 + 88 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (137616488351) and next prime (137616488353).

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

It is not an unprimeable number, because it can be changed into a prime (137616488351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5121352 + ... + 5148152.

Almost surely, 2^137616488352 is an apocalyptic number.

137616488352 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 137616488352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098029856).

137616488352 is an abundant number, since it is smaller than the sum of its proper divisors (326579571360).

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

137616488352 is a wasteful number, since it uses less digits than its factorization.

137616488352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27113 (or 27096 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 137616488352 in words is "one hundred thirty-seven billion, six hundred sixteen million, four hundred eighty-eight thousand, three hundred fifty-two".