37070142117120 has 1440 divisors, whose sum is σ = 160191873515520. Its totient is φ = 8001899642880.

The previous prime is 37070142117061. The next prime is 37070142117131. The reversal of 37070142117120 is 2171124107073.

37070142117120 is a `hidden beast` number, since 37 + 0 + 70 + 1 + 421 + 17 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1318691865 + ... + 1318719975.

It is an arithmetic number, because the mean of its divisors is an integer number (111244356608).

Almost surely, 2^{37070142117120} is an apocalyptic number.

37070142117120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37070142117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80095936757760).

37070142117120 is an abundant number, since it is smaller than the sum of its proper divisors (123121731398400).

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

37070142117120 is a wasteful number, since it uses less digits than its factorization.

37070142117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28253 (or 28230 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 37070142117120 in words is "thirty-seven trillion, seventy billion, one hundred forty-two million, one hundred seventeen thousand, one hundred twenty".