137401056 has 144 divisors (see below), whose sum is σ = 434412720. Its totient is φ = 42232320.

The previous prime is 137401051. The next prime is 137401063. The reversal of 137401056 is 650104731.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137401051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145546 + ... + 146486.

It is an arithmetic number, because the mean of its divisors is an integer number (3016755).

Almost surely, 2^137401056 is an apocalyptic number.

137401056 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 137401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217206360).

137401056 is an abundant number, since it is smaller than the sum of its proper divisors (297011664).

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

137401056 is a wasteful number, since it uses less digits than its factorization.

137401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 959 counting only the distinct ones).

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

The square root of 137401056 is about 11721.8196539616. The cubic root of 137401056 is about 516.0162244763.

Adding to 137401056 its reverse (650104731), we get a palindrome (787505787).

The spelling of 137401056 in words is "one hundred thirty-seven million, four hundred one thousand, fifty-six".