137977824 has 72 divisors (see below), whose sum is σ = 375331320. Its totient is φ = 44380672.

The previous prime is 137977799. The next prime is 137977843. The reversal of 137977824 is 428779731.

137977824 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79882 + ... + 81590.

It is an arithmetic number, because the mean of its divisors is an integer number (5212935).

Almost surely, 2^137977824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137977824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187665660).

137977824 is an abundant number, since it is smaller than the sum of its proper divisors (237353496).

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

137977824 is a wasteful number, since it uses less digits than its factorization.

137977824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1743 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The square root of 137977824 is about 11746.3962133073. The cubic root of 137977824 is about 516.7372431280.

The spelling of 137977824 in words is "one hundred thirty-seven million, nine hundred seventy-seven thousand, eight hundred twenty-four".