137822016 has 56 divisors (see below), whose sum is σ = 365560864. Its totient is φ = 45826560.

The previous prime is 137822011. The next prime is 137822017. The reversal of 137822016 is 610228731.

137822016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137822011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117111 + ... + 118281.

Almost surely, 2^137822016 is an apocalyptic number.

137822016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137822016 is an abundant number, since it is smaller than the sum of its proper divisors (227738848).

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

137822016 is a wasteful number, since it uses less digits than its factorization.

137822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137822016 is about 11739.7621781704. The cubic root of 137822016 is about 516.5426656749.

The spelling of 137822016 in words is "one hundred thirty-seven million, eight hundred twenty-two thousand, sixteen".