137533632 has 28 divisors (see below), whose sum is σ = 363891576. Its totient is φ = 45844480.

The previous prime is 137533597. The next prime is 137533637. The reversal of 137533632 is 236335731.

It is a super-2 number, since 2×137533632² = 37830999862222848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137533593 and 137533602.

It is not an unprimeable number, because it can be changed into a prime (137533637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357969 + ... + 358352.

Almost surely, 2^137533632 is an apocalyptic number.

137533632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137533632 is an abundant number, since it is smaller than the sum of its proper divisors (226357944).

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

137533632 is an equidigital number, since it uses as much as digits as its factorization.

137533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716336 (or 716326 counting only the distinct ones).

The product of its digits is 34020, while the sum is 33.

The square root of 137533632 is about 11727.4733851755. The cubic root of 137533632 is about 516.1821362914.

The spelling of 137533632 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, six hundred thirty-two".