152481634411104 has 144 divisors (see below), whose sum is σ = 449791324572240. Its totient is φ = 50256116951040.

The previous prime is 152481634411103. The next prime is 152481634411111. The reversal of 152481634411104 is 401114436184251.

152481634411104 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 8 + 1 + 634 + 4 + 1 + 1 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 152481634411104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152481634411103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4296477 + ... + 17983964.

It is an arithmetic number, because the mean of its divisors is an integer number (3123550865085).

Almost surely, 2^{152481634411104} is an apocalyptic number.

It is an amenable number.

152481634411104 is an abundant number, since it is smaller than the sum of its proper divisors (297309690161136).

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

152481634411104 is an equidigital number, since it uses as much as digits as its factorization.

152481634411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22280638 (or 22280535 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 152481634411104 in words is "one hundred fifty-two trillion, four hundred eighty-one billion, six hundred thirty-four million, four hundred eleven thousand, one hundred four".