137945808 has 480 divisors, whose sum is σ = 554131200. Its totient is φ = 31933440.

The previous prime is 137945807. The next prime is 137945861. The reversal of 137945808 is 808549731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137945807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756738 + ... + 4756766.

It is an arithmetic number, because the mean of its divisors is an integer number (1154440).

Almost surely, 2^137945808 is an apocalyptic number.

137945808 is a gapful number since it is divisible by the number (18) 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 137945808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277065600).

137945808 is an abundant number, since it is smaller than the sum of its proper divisors (416185392).

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

137945808 is a wasteful number, since it uses less digits than its factorization.

137945808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 137945808 is about 11745.0333332860. The cubic root of 137945808 is about 516.6972726002.

The spelling of 137945808 in words is "one hundred thirty-seven million, nine hundred forty-five thousand, eight hundred eight".