137253376 has 80 divisors (see below), whose sum is σ = 312964344. Its totient is φ = 59572224.

The previous prime is 137253373. The next prime is 137253401. The reversal of 137253376 is 673352731.

It can be written as a sum of positive squares in 4 ways, for example, as 76038400 + 61214976 = 8720^2 + 7824^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137253373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112546 + ... + 113758.

Almost surely, 2^137253376 is an apocalyptic number.

137253376 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 137253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156482172).

137253376 is an abundant number, since it is smaller than the sum of its proper divisors (175710968).

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

137253376 is a wasteful number, since it uses less digits than its factorization.

137253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1245 counting only the distinct ones).

The product of its digits is 79380, while the sum is 37.

The square root of 137253376 is about 11715.5185971429. The cubic root of 137253376 is about 515.8312851058.

The spelling of 137253376 in words is "one hundred thirty-seven million, two hundred fifty-three thousand, three hundred seventy-six".