137120256 has 320 divisors, whose sum is σ = 504134400. Its totient is φ = 35831808.

The previous prime is 137120251. The next prime is 137120279. The reversal of 137120256 is 652021731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (137120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257930 + ... + 1258038.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^137120256 is an apocalyptic number.

137120256 is a gapful number since it is divisible by the number (16) 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 137120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

137120256 is an abundant number, since it is smaller than the sum of its proper divisors (367014144).

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

137120256 is a wasteful number, since it uses less digits than its factorization.

137120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137120256 is about 11709.8358656302. The cubic root of 137120256 is about 515.6644654751.

Adding to 137120256 its reverse (652021731), we get a palindrome (789141987).

The spelling of 137120256 in words is "one hundred thirty-seven million, one hundred twenty thousand, two hundred fifty-six".