153729412704 has 432 divisors, whose sum is σ = 532765029888. Its totient is φ = 42714874368.

The previous prime is 153729412673. The next prime is 153729412723. The reversal of 153729412704 is 407214927351.

153729412704 is a `hidden beast` number, since 1 + 5 + 372 + 9 + 4 + 1 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 153729412704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74516377 + ... + 74518439.

It is an arithmetic number, because the mean of its divisors is an integer number (1233252384).

Almost surely, 2^153729412704 is an apocalyptic number.

153729412704 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 153729412704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266382514944).

153729412704 is an abundant number, since it is smaller than the sum of its proper divisors (379035617184).

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

153729412704 is an equidigital number, since it uses as much as digits as its factorization.

153729412704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 153729412704 in words is "one hundred fifty-three billion, seven hundred twenty-nine million, four hundred twelve thousand, seven hundred four".