137582232 has 32 divisors (see below), whose sum is σ = 345696000. Its totient is φ = 45628704.

The previous prime is 137582231. The next prime is 137582273. The reversal of 137582232 is 232285731.

It is a junction number, because it is equal to n+sod(n) for n = 137582193 and 137582202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137582231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9628 + ... + 19179.

It is an arithmetic number, because the mean of its divisors is an integer number (10803000).

Almost surely, 2^137582232 is an apocalyptic number.

137582232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137582232 is an abundant number, since it is smaller than the sum of its proper divisors (208113768).

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

137582232 is a wasteful number, since it uses less digits than its factorization.

137582232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29015 (or 29011 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 137582232 is about 11729.5452597277. The cubic root of 137582232 is about 516.2429299002.

The spelling of 137582232 in words is "one hundred thirty-seven million, five hundred eighty-two thousand, two hundred thirty-two".