137280052 has 72 divisors (see below), whose sum is σ = 302438976. Its totient is φ = 53374464.

The previous prime is 137280047. The next prime is 137280053. The reversal of 137280052 is 250082731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 137280052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137280053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316828 + ... + 317260.

Almost surely, 2^137280052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137280052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151219488).

137280052 is an abundant number, since it is smaller than the sum of its proper divisors (165158924).

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

137280052 is a wasteful number, since it uses less digits than its factorization.

137280052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 137280052 is about 11716.6570317646. The cubic root of 137280052 is about 515.8647012213.

The spelling of 137280052 in words is "one hundred thirty-seven million, two hundred eighty thousand, fifty-two".