37120133142 has 32 divisors (see below), whose sum is σ = 86830723200. Its totient is φ = 11722146984.

The previous prime is 37120133107. The next prime is 37120133147. The reversal of 37120133142 is 24133102173.

It is a happy number.

37120133142 is a `hidden beast` number, since 371 + 20 + 133 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37120133147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18088708 + ... + 18090759.

It is an arithmetic number, because the mean of its divisors is an integer number (2713460100).

Almost surely, 2^37120133142 is an apocalyptic number.

37120133142 is an abundant number, since it is smaller than the sum of its proper divisors (49710590058).

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

37120133142 is a wasteful number, since it uses less digits than its factorization.

37120133142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36179497 (or 36179491 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 37120133142 in words is "thirty-seven billion, one hundred twenty million, one hundred thirty-three thousand, one hundred forty-two".