137083632 has 160 divisors (see below), whose sum is σ = 432115200. Its totient is φ = 36578304.

The previous prime is 137083589. The next prime is 137083633. The reversal of 137083632 is 236380731.

137083632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137083632² = 37583844324622848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137083593 and 137083602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137083633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695758 + ... + 695954.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^137083632 is an apocalyptic number.

137083632 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 137083632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

137083632 is an abundant number, since it is smaller than the sum of its proper divisors (295031568).

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

137083632 is a wasteful number, since it uses less digits than its factorization.

137083632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 137083632 is about 11708.2719476445. The cubic root of 137083632 is about 515.6185510892.

The spelling of 137083632 in words is "one hundred thirty-seven million, eighty-three thousand, six hundred thirty-two".