137847052 has 96 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 52939008.

The previous prime is 137847029. The next prime is 137847077. The reversal of 137847052 is 250748731.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 31 ways as a sum of consecutive naturals, for example, 925074 + ... + 925222.

It is an arithmetic number, because the mean of its divisors is an integer number (3192000).

Almost surely, 2^137847052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137847052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

137847052 is an abundant number, since it is smaller than the sum of its proper divisors (168584948).

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

137847052 is a wasteful number, since it uses less digits than its factorization.

137847052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 137847052 is about 11740.8284205162. The cubic root of 137847052 is about 516.5739412277.

The spelling of 137847052 in words is "one hundred thirty-seven million, eight hundred forty-seven thousand, fifty-two".