137379100 has 36 divisors (see below), whose sum is σ = 298809000. Its totient is φ = 54823360.

The previous prime is 137379097. The next prime is 137379103. The reversal of 137379100 is 1973731.

It is an interprime number because it is at equal distance from previous prime (137379097) and next prime (137379103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137379103) 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 11 ways as a sum of consecutive naturals, for example, 49551 + ... + 52249.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^137379100 is an apocalyptic number.

137379100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137379100 is an abundant number, since it is smaller than the sum of its proper divisors (161429900).

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

137379100 is a wasteful number, since it uses less digits than its factorization.

137379100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 137379100 is about 11720.8830725334. The cubic root of 137379100 is about 515.9887374102.

The spelling of 137379100 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, one hundred".