137158272 has 80 divisors (see below), whose sum is σ = 408211650. Its totient is φ = 45715968.

The previous prime is 137158253. The next prime is 137158277. The reversal of 137158272 is 272851731.

137158272 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 582 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 66194496 = 8424^2 + 8136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (137158277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3754 + ... + 16982.

Almost surely, 2^137158272 is an apocalyptic number.

137158272 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 137158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204105825).

137158272 is an abundant number, since it is smaller than the sum of its proper divisors (271053378).

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

137158272 is an equidigital number, since it uses as much as digits as its factorization.

137158272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13234 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 137158272 is about 11711.4590038987. The cubic root of 137158272 is about 515.7121163219.

The spelling of 137158272 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, two hundred seventy-two".