137119752 has 96 divisors (see below), whose sum is σ = 463020480. Its totient is φ = 35614080.

The previous prime is 137119687. The next prime is 137119753. The reversal of 137119752 is 257911731.

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

It is not an unprimeable number, because it can be changed into a prime (137119753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6823 + ... + 17910.

It is an arithmetic number, because the mean of its divisors is an integer number (4823130).

Almost surely, 2^137119752 is an apocalyptic number.

137119752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137119752 is an abundant number, since it is smaller than the sum of its proper divisors (325900728).

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

137119752 is a wasteful number, since it uses less digits than its factorization.

137119752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24763 (or 24756 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 137119752 is about 11709.8143452405. The cubic root of 137119752 is about 515.6638336813.

The spelling of 137119752 in words is "one hundred thirty-seven million, one hundred nineteen thousand, seven hundred fifty-two".