137964890 has 128 divisors (see below), whose sum is σ = 319680000. Its totient is φ = 42674688.

The previous prime is 137964829. The next prime is 137964899. The reversal of 137964890 is 98469731.

It is not an unprimeable number, because it can be changed into a prime (137964899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1889894 + ... + 1889966.

It is an arithmetic number, because the mean of its divisors is an integer number (2497500).

Almost surely, 2^137964890 is an apocalyptic number.

137964890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137964890 is an abundant number, since it is smaller than the sum of its proper divisors (181715110).

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

137964890 is a wasteful number, since it uses less digits than its factorization.

137964890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 137964890 is about 11745.8456485687. The cubic root of 137964890 is about 516.7210963585.

The spelling of 137964890 in words is "one hundred thirty-seven million, nine hundred sixty-four thousand, eight hundred ninety".