137977776 has 80 divisors (see below), whose sum is σ = 408862720. Its totient is φ = 44504640.

The previous prime is 137977771. The next prime is 137977799. The reversal of 137977776 is 677779731.

137977776 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137977771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8241 + ... + 18543.

It is an arithmetic number, because the mean of its divisors is an integer number (5110784).

Almost surely, 2^137977776 is an apocalyptic number.

137977776 is a gapful number since it is divisible by the number (16) 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 137977776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204431360).

137977776 is an abundant number, since it is smaller than the sum of its proper divisors (270884944).

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

137977776 is a wasteful number, since it uses less digits than its factorization.

137977776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10339 counting only the distinct ones).

The product of its digits is 2722734, while the sum is 54.

The square root of 137977776 is about 11746.3941701273. The cubic root of 137977776 is about 516.7371832068.

The spelling of 137977776 in words is "one hundred thirty-seven million, nine hundred seventy-seven thousand, seven hundred seventy-six".