137481552 has 90 divisors (see below), whose sum is σ = 415888746. Its totient is φ = 42145920.

The previous prime is 137481551. The next prime is 137481577. The reversal of 137481552 is 255184731.

It can be written as a sum of positive squares in only one way, i.e., 95179536 + 42302016 = 9756^2 + 6504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137481551) 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 17 ways as a sum of consecutive naturals, for example, 507177 + ... + 507447.

Almost surely, 2^137481552 is an apocalyptic number.

137481552 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 137481552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207944373).

137481552 is an abundant number, since it is smaller than the sum of its proper divisors (278407194).

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

137481552 is a wasteful number, since it uses less digits than its factorization.

137481552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 289 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 137481552 is about 11725.2527478089. The cubic root of 137481552 is about 516.1169736611.

The spelling of 137481552 in words is "one hundred thirty-seven million, four hundred eighty-one thousand, five hundred fifty-two".