137906016 has 48 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 45857408.

The previous prime is 137905961. The next prime is 137906051. The reversal of 137906016 is 610609731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44485 + ... + 47483.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2^137906016 is an apocalyptic number.

137906016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137906016 is an abundant number, since it is smaller than the sum of its proper divisors (224973984).

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

137906016 is a wasteful number, since it uses less digits than its factorization.

137906016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 137906016 is about 11743.3392184676. The cubic root of 137906016 is about 516.6475854671.

The spelling of 137906016 in words is "one hundred thirty-seven million, nine hundred six thousand, sixteen".