137345152 has 32 divisors (see below), whose sum is σ = 312707520. Its totient is φ = 58861824.

The previous prime is 137345137. The next prime is 137345171. The reversal of 137345152 is 251543731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 75748 + ... + 77539.

It is an arithmetic number, because the mean of its divisors is an integer number (9772110).

Almost surely, 2^137345152 is an apocalyptic number.

It is an amenable number.

137345152 is an abundant number, since it is smaller than the sum of its proper divisors (175362368).

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

137345152 is an equidigital number, since it uses as much as digits as its factorization.

137345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153308 (or 153296 counting only the distinct ones).

The product of its digits is 12600, while the sum is 31.

The square root of 137345152 is about 11719.4347986582. The cubic root of 137345152 is about 515.9462316027.

Adding to 137345152 its reverse (251543731), we get a palindrome (388888883).

The spelling of 137345152 in words is "one hundred thirty-seven million, three hundred forty-five thousand, one hundred fifty-two".