137142600 has 96 divisors (see below), whose sum is σ = 485891520. Its totient is φ = 31345920.

The previous prime is 137142541. The next prime is 137142613. The reversal of 137142600 is 6241731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12127 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (5061370).

Almost surely, 2^137142600 is an apocalyptic number.

137142600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137142600 is an abundant number, since it is smaller than the sum of its proper divisors (348748920).

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

137142600 is a wasteful number, since it uses less digits than its factorization.

137142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32679 (or 32670 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 137142600 is about 11710.7898965014. The cubic root of 137142600 is about 515.6924734475.

The spelling of 137142600 in words is "one hundred thirty-seven million, one hundred forty-two thousand, six hundred".