151502414400 has 126 divisors (see below), whose sum is σ = 538475403362. Its totient is φ = 40400640000.

The previous prime is 151502414369. The next prime is 151502414407. The reversal of 151502414400 is 4414205151.

151502414400 is a `hidden beast` number, since 1 + 5 + 15 + 0 + 241 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2790374976 + 148712039424 = 52824^2 + 385632^2 .

It is not an unprimeable number, because it can be changed into a prime (151502414407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5246101 + ... + 5274900.

Almost surely, 2^151502414400 is an apocalyptic number.

151502414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151502414400 is an abundant number, since it is smaller than the sum of its proper divisors (386972988962).

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

151502414400 is a wasteful number, since it uses less digits than its factorization.

151502414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521029 (or 10521011 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 151502414400 its reverse (4414205151), we get a palindrome (155916619551).

The spelling of 151502414400 in words is "one hundred fifty-one billion, five hundred two million, four hundred fourteen thousand, four hundred".