151414230400 has 96 divisors (see below), whose sum is σ = 374166732600. Its totient is φ = 60545249280.

The previous prime is 151414230379. The next prime is 151414230431. The reversal of 151414230400 is 4032414151.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12566779 + ... + 12578821.

Almost surely, 2^151414230400 is an apocalyptic number.

151414230400 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 151414230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187083366300).

151414230400 is an abundant number, since it is smaller than the sum of its proper divisors (222752502200).

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

151414230400 is a wasteful number, since it uses less digits than its factorization.

151414230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15996 (or 15979 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 151414230400 its reverse (4032414151), we get a palindrome (155446644551).

The spelling of 151414230400 in words is "one hundred fifty-one billion, four hundred fourteen million, two hundred thirty thousand, four hundred".