137552868 has 54 divisors (see below), whose sum is σ = 356547282. Its totient is φ = 44712960.

The previous prime is 137552813. The next prime is 137552897. The reversal of 137552868 is 868255731.

137552868 is a `hidden beast` number, since 1 + 37 + 552 + 8 + 68 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 381924 + 137170944 = 618^2 + 11712^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 59380 + ... + 61652.

Almost surely, 2^137552868 is an apocalyptic number.

137552868 is a gapful number since it is divisible by the number (18) 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 137552868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178273641).

137552868 is an abundant number, since it is smaller than the sum of its proper divisors (218994414).

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

137552868 is a wasteful number, since it uses less digits than its factorization.

137552868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2319 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 137552868 is about 11728.2934820033. The cubic root of 137552868 is about 516.2062002641.

The spelling of 137552868 in words is "one hundred thirty-seven million, five hundred fifty-two thousand, eight hundred sixty-eight".