151900130400 has 144 divisors (see below), whose sum is σ = 495137840400. Its totient is φ = 40449116160.

The previous prime is 151900130383. The next prime is 151900130411. The reversal of 151900130400 is 4031009151.

151900130400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656966 + ... + 1746234.

It is an arithmetic number, because the mean of its divisors is an integer number (3438457225).

Almost surely, 2^151900130400 is an apocalyptic number.

151900130400 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 151900130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247568920200).

151900130400 is an abundant number, since it is smaller than the sum of its proper divisors (343237710000).

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

151900130400 is a wasteful number, since it uses less digits than its factorization.

151900130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90001 (or 89988 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 151900130400 its reverse (4031009151), we get a palindrome (155931139551).

The spelling of 151900130400 in words is "one hundred fifty-one billion, nine hundred million, one hundred thirty thousand, four hundred".