151232434504704 has 704 divisors, whose sum is σ = 529527209164800. Its totient is φ = 41723950694400.

The previous prime is 151232434504693. The next prime is 151232434504709. The reversal of 151232434504704 is 407405434232151.

151232434504704 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 32 + 43 + 4 + 504 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 151232434504704.

It is not an unprimeable number, because it can be changed into a prime (151232434504709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2765795637 + ... + 2765850315.

It is an arithmetic number, because the mean of its divisors is an integer number (752169331200).

Almost surely, 2^{151232434504704} is an apocalyptic number.

151232434504704 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 151232434504704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264763604582400).

151232434504704 is an abundant number, since it is smaller than the sum of its proper divisors (378294774660096).

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

151232434504704 is a wasteful number, since it uses less digits than its factorization.

151232434504704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55207 (or 55183 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 151232434504704 its reverse (407405434232151), we get a palindrome (558637868736855).

The spelling of 151232434504704 in words is "one hundred fifty-one trillion, two hundred thirty-two billion, four hundred thirty-four million, five hundred four thousand, seven hundred four".