137622188704 has 288 divisors, whose sum is σ = 372436227072. Its totient is φ = 49206528000.

The previous prime is 137622188701. The next prime is 137622188723. The reversal of 137622188704 is 407881226731.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (137622188701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40582849 + ... + 40586239.

It is an arithmetic number, because the mean of its divisors is an integer number (1293181344).

Almost surely, 2^137622188704 is an apocalyptic number.

137622188704 is a gapful number since it is divisible by the number (14) 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 137622188704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186218113536).

137622188704 is an abundant number, since it is smaller than the sum of its proper divisors (234814038368).

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

137622188704 is a wasteful number, since it uses less digits than its factorization.

137622188704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 137622188704 in words is "one hundred thirty-seven billion, six hundred twenty-two million, one hundred eighty-eight thousand, seven hundred four".