151115420400 has 240 divisors, whose sum is σ = 557586407424. Its totient is φ = 34268451840.

The previous prime is 151115420377. The next prime is 151115420437. The reversal of 151115420400 is 4024511151.

151115420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995974 + ... + 1137626.

Almost surely, 2^151115420400 is an apocalyptic number.

151115420400 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 151115420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278793203712).

151115420400 is an abundant number, since it is smaller than the sum of its proper divisors (406470987024).

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

151115420400 is a wasteful number, since it uses less digits than its factorization.

151115420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141808 (or 141797 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 151115420400 its reverse (4024511151), we get a palindrome (155139931551).

The spelling of 151115420400 in words is "one hundred fifty-one billion, one hundred fifteen million, four hundred twenty thousand, four hundred".