137172133120 has 288 divisors, whose sum is σ = 372982579200. Its totient is φ = 47883264000.

The previous prime is 137172133099. The next prime is 137172133121. The reversal of 137172133120 is 21331271731.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137172133121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57177681 + ... + 57180079.

It is an arithmetic number, because the mean of its divisors is an integer number (1295078400).

Almost surely, 2^137172133120 is an apocalyptic number.

137172133120 is a gapful number since it is divisible by the number (10) 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 137172133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186491289600).

137172133120 is an abundant number, since it is smaller than the sum of its proper divisors (235810446080).

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

137172133120 is a wasteful number, since it uses less digits than its factorization.

137172133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The spelling of 137172133120 in words is "one hundred thirty-seven billion, one hundred seventy-two million, one hundred thirty-three thousand, one hundred twenty".