137581332 has 48 divisors (see below), whose sum is σ = 367460352. Its totient is φ = 39247200.

The previous prime is 137581321. The next prime is 137581343. The reversal of 137581332 is 233185731.

It is an interprime number because it is at equal distance from previous prime (137581321) and next prime (137581343).

It is a junction number, because it is equal to n+sod(n) for n = 137581293 and 137581302.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95973 + ... + 97395.

It is an arithmetic number, because the mean of its divisors is an integer number (7655424).

Almost surely, 2^137581332 is an apocalyptic number.

137581332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137581332 is an abundant number, since it is smaller than the sum of its proper divisors (229879020).

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

137581332 is a wasteful number, since it uses less digits than its factorization.

137581332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 137581332 is about 11729.5068950063. The cubic root of 137581332 is about 516.2418042228.

The spelling of 137581332 in words is "one hundred thirty-seven million, five hundred eighty-one thousand, three hundred thirty-two".