137620032 has 112 divisors (see below), whose sum is σ = 420697152. Its totient is φ = 39239680.

The previous prime is 137620009. The next prime is 137620039. The reversal of 137620032 is 230026731.

137620032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 137619984 and 137620011.

It is not an unprimeable number, because it can be changed into a prime (137620039) by changing a digit.

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, 33988 + ... + 37820.

Almost surely, 2^137620032 is an apocalyptic number.

137620032 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 137620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210348576).

137620032 is an abundant number, since it is smaller than the sum of its proper divisors (283077120).

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

137620032 is a wasteful number, since it uses less digits than its factorization.

137620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137620032 is about 11731.1564647310. The cubic root of 137620032 is about 516.2902039210.

Adding to 137620032 its reverse (230026731), we get a palindrome (367646763).

The spelling of 137620032 in words is "one hundred thirty-seven million, six hundred twenty thousand, thirty-two".