137750997600 has 360 divisors, whose sum is σ = 519680644560. Its totient is φ = 35466439680.

The previous prime is 137750997547. The next prime is 137750997611. The reversal of 137750997600 is 6799057731.

137750997600 is a `hidden beast` number, since 1 + 3 + 77 + 509 + 9 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1842549 + ... + 1915851.

It is an arithmetic number, because the mean of its divisors is an integer number (1443557346).

Almost surely, 2^137750997600 is an apocalyptic number.

137750997600 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 137750997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259840322280).

137750997600 is an abundant number, since it is smaller than the sum of its proper divisors (381929646960).

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

137750997600 is a wasteful number, since it uses less digits than its factorization.

137750997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73364 (or 73342 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The spelling of 137750997600 in words is "one hundred thirty-seven billion, seven hundred fifty million, nine hundred ninety-seven thousand, six hundred".