137227500 has 240 divisors, whose sum is σ = 472348800. Its totient is φ = 34344000.

The previous prime is 137227477. The next prime is 137227511. The reversal of 137227500 is 5722731.

137227500 is a `hidden beast` number, since 137 + 2 + 27 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1282447 + ... + 1282553.

It is an arithmetic number, because the mean of its divisors is an integer number (1968120).

Almost surely, 2^137227500 is an apocalyptic number.

137227500 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 137227500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236174400).

137227500 is an abundant number, since it is smaller than the sum of its proper divisors (335121300).

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

137227500 is a wasteful number, since it uses less digits than its factorization.

137227500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137227500 is about 11714.4141979017. The cubic root of 137227500 is about 515.7988669859.

The spelling of 137227500 in words is "one hundred thirty-seven million, two hundred twenty-seven thousand, five hundred".