137627052 has 24 divisors (see below), whose sum is σ = 321333936. Its totient is φ = 45846528.

The previous prime is 137627027. The next prime is 137627057. The reversal of 137627052 is 250726731.

137627052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137627057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25068 + ... + 30060.

It is an arithmetic number, because the mean of its divisors is an integer number (13388914).

Almost surely, 2^137627052 is an apocalyptic number.

137627052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137627052 is an abundant number, since it is smaller than the sum of its proper divisors (183706884).

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

137627052 is a wasteful number, since it uses less digits than its factorization.

137627052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 137627052 is about 11731.4556641535. The cubic root of 137627052 is about 516.2989824289.

The spelling of 137627052 in words is "one hundred thirty-seven million, six hundred twenty-seven thousand, fifty-two".