151426400 has 144 divisors (see below), whose sum is σ = 392318640. Its totient is φ = 56985600.

The previous prime is 151426393. The next prime is 151426403. The reversal of 151426400 is 4624151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151426403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1415147 + ... + 1415253.

It is an arithmetic number, because the mean of its divisors is an integer number (2724435).

Almost surely, 2^151426400 is an apocalyptic number.

151426400 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 151426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196159320).

151426400 is an abundant number, since it is smaller than the sum of its proper divisors (240892240).

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

151426400 is a wasteful number, since it uses less digits than its factorization.

151426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 151426400 is about 12305.5434662594. The cubic root of 151426400 is about 533.0081698497.

The spelling of 151426400 in words is "one hundred fifty-one million, four hundred twenty-six thousand, four hundred".