137001312 has 72 divisors (see below), whose sum is σ = 445260816. Its totient is φ = 39142656.

The previous prime is 137001301. The next prime is 137001323. The reversal of 137001312 is 213100731.

It is an interprime number because it is at equal distance from previous prime (137001301) and next prime (137001323).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 31963 + ... + 35994.

It is an arithmetic number, because the mean of its divisors is an integer number (6184178).

Almost surely, 2^137001312 is an apocalyptic number.

137001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137001312 is an abundant number, since it is smaller than the sum of its proper divisors (308259504).

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

137001312 is a wasteful number, since it uses less digits than its factorization.

137001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67980 (or 67969 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137001312 is about 11704.7559564478. The cubic root of 137001312 is about 515.5153191723.

The spelling of 137001312 in words is "one hundred thirty-seven million, one thousand, three hundred twelve".