137856894 has 192 divisors, whose sum is σ = 374284800. Its totient is φ = 33530112.

The previous prime is 137856881. The next prime is 137856911. The reversal of 137856894 is 498658731.

137856894 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3725844 + ... + 3725880.

It is an arithmetic number, because the mean of its divisors is an integer number (1949400).

Almost surely, 2^137856894 is an apocalyptic number.

137856894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137856894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142400).

137856894 is an abundant number, since it is smaller than the sum of its proper divisors (236427906).

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

137856894 is a wasteful number, since it uses less digits than its factorization.

137856894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 137856894 is about 11741.2475487062. The cubic root of 137856894 is about 516.5862350457.

The spelling of 137856894 in words is "one hundred thirty-seven million, eight hundred fifty-six thousand, eight hundred ninety-four".