151922400 has 144 divisors (see below), whose sum is σ = 565213824. Its totient is φ = 34721280.

The previous prime is 151922399. The next prime is 151922401. The reversal of 151922400 is 4229151.

It is an interprime number because it is at equal distance from previous prime (151922399) and next prime (151922401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151922401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12279 + ... + 21321.

It is an arithmetic number, because the mean of its divisors is an integer number (3925096).

Almost surely, 2^151922400 is an apocalyptic number.

151922400 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 151922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282606912).

151922400 is an abundant number, since it is smaller than the sum of its proper divisors (413291424).

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

151922400 is a wasteful number, since it uses less digits than its factorization.

151922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 151922400 is about 12325.6805085967. The cubic root of 151922400 is about 533.5894950006.

The spelling of 151922400 in words is "one hundred fifty-one million, nine hundred twenty-two thousand, four hundred".