147122638062400 has 4032 divisors, whose sum is σ = 556180206188544. Its totient is φ = 37456183296000.

The previous prime is 147122638062391. The next prime is 147122638062467. The reversal of 147122638062400 is 4260836221741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 218607188464 + ... + 218607189136.

It is an arithmetic number, because the mean of its divisors is an integer number (137941519392).

Almost surely, 2^{147122638062400} is an apocalyptic number.

147122638062400 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 147122638062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278090103094272).

147122638062400 is an abundant number, since it is smaller than the sum of its proper divisors (409057568126144).

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

147122638062400 is a wasteful number, since it uses less digits than its factorization.

147122638062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 147122638062400 in words is "one hundred forty-seven trillion, one hundred twenty-two billion, six hundred thirty-eight million, sixty-two thousand, four hundred".