137359152 has 240 divisors, whose sum is σ = 469414400. Its totient is φ = 38864448.

The previous prime is 137359147. The next prime is 137359163. The reversal of 137359152 is 251953731.

137359152 is a `hidden beast` number, since 13 + 7 + 3 + 591 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333533 + ... + 1333635.

Almost surely, 2^137359152 is an apocalyptic number.

137359152 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 137359152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234707200).

137359152 is an abundant number, since it is smaller than the sum of its proper divisors (332055248).

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

137359152 is an equidigital number, since it uses as much as digits as its factorization.

137359152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 137359152 is about 11720.0320818674. The cubic root of 137359152 is about 515.9637616519.

The spelling of 137359152 in words is "one hundred thirty-seven million, three hundred fifty-nine thousand, one hundred fifty-two".