137132652 has 96 divisors (see below), whose sum is σ = 350945280. Its totient is φ = 41532480.

The previous prime is 137132629. The next prime is 137132657. The reversal of 137132652 is 256231731.

It is not an unprimeable number, because it can be changed into a prime (137132657) 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 31 ways as a sum of consecutive naturals, for example, 717877 + ... + 718067.

It is an arithmetic number, because the mean of its divisors is an integer number (3655680).

Almost surely, 2^137132652 is an apocalyptic number.

137132652 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 137132652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472640).

137132652 is an abundant number, since it is smaller than the sum of its proper divisors (213812628).

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

137132652 is a wasteful number, since it uses less digits than its factorization.

137132652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 137132652 is about 11710.3651522914. The cubic root of 137132652 is about 515.6800041084.

The spelling of 137132652 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, six hundred fifty-two".