137157300 has 360 divisors, whose sum is σ = 529341120. Its totient is φ = 30067200.

The previous prime is 137157289. The next prime is 137157311. The reversal of 137157300 is 3751731.

It is an interprime number because it is at equal distance from previous prime (137157289) and next prime (137157311).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2324671 + ... + 2324729.

It is an arithmetic number, because the mean of its divisors is an integer number (1470392).

Almost surely, 2^137157300 is an apocalyptic number.

137157300 is a gapful number since it is divisible by the number (10) 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 137157300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

137157300 is an abundant number, since it is smaller than the sum of its proper divisors (392183820).

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

137157300 is a wasteful number, since it uses less digits than its factorization.

137157300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 137157300 is about 11711.4175060067. The cubic root of 137157300 is about 515.7108980861.

The spelling of 137157300 in words is "one hundred thirty-seven million, one hundred fifty-seven thousand, three hundred".