137970733622400 has 5184 divisors, whose sum is σ = 658958631626880. Its totient is φ = 28390616432640.

The previous prime is 137970733622357. The next prime is 137970733622411. The reversal of 137970733622400 is 4226337079731.

137970733622400 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 7 + 0 + 7 + 3 + 3 + 622 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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 polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 5998727548789 + ... + 5998727548811.

It is an arithmetic number, because the mean of its divisors is an integer number (127113933570).

Almost surely, 2^{137970733622400} is an apocalyptic number.

137970733622400 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 137970733622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329479315813440).

137970733622400 is an abundant number, since it is smaller than the sum of its proper divisors (520987898004480).

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

137970733622400 is an frugal number, since it uses more digits than its factorization.

137970733622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 137970733622400 in words is "one hundred thirty-seven trillion, nine hundred seventy billion, seven hundred thirty-three million, six hundred twenty-two thousand, four hundred".