150130400 has 288 divisors, whose sum is σ = 472469760. Its totient is φ = 45342720.

The previous prime is 150130369. The next prime is 150130411. The reversal of 150130400 is 4031051.

150130400 is digitally balanced in base 2, 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 (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808759 + ... + 1808841.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^150130400 is an apocalyptic number.

150130400 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 150130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

150130400 is an abundant number, since it is smaller than the sum of its proper divisors (322339360).

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

150130400 is a wasteful number, since it uses less digits than its factorization.

150130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 150130400 is about 12252.7711151396. The cubic root of 150130400 is about 531.4832074159.

Adding to 150130400 its reverse (4031051), we get a palindrome (154161451).

The spelling of 150130400 in words is "one hundred fifty million, one hundred thirty thousand, four hundred".