137127564 has 144 divisors (see below), whose sum is σ = 421424640. Its totient is φ = 36748800.

The previous prime is 137127509. The next prime is 137127577. The reversal of 137127564 is 465721731.

It is a happy number.

137127564 is a `hidden beast` number, since 1 + 3 + 71 + 27 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 341764 + ... + 342164.

It is an arithmetic number, because the mean of its divisors is an integer number (2926560).

Almost surely, 2^137127564 is an apocalyptic number.

137127564 is a gapful number since it is divisible by the number (14) 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 137127564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210712320).

137127564 is an abundant number, since it is smaller than the sum of its proper divisors (284297076).

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

137127564 is a wasteful number, since it uses less digits than its factorization.

137127564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 137127564 is about 11710.1479068370. The cubic root of 137127564 is about 515.6736263122.

The spelling of 137127564 in words is "one hundred thirty-seven million, one hundred twenty-seven thousand, five hundred sixty-four".