151725830400 has 405 divisors, whose sum is σ = 562038410703. Its totient is φ = 40385433600.

The previous prime is 151725830383. The next prime is 151725830419. The reversal of 151725830400 is 4038527151.

The square root of 151725830400 is 389520.

It is a perfect power (a square), and thus also a powerful number.

151725830400 is a `hidden beast` number, since 1 + 5 + 1 + 72 + 583 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8950673664 + 142775156736 = 94608^2 + 377856^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×151725830400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 280454130 + ... + 280454670.

Almost surely, 2^151725830400 is an apocalyptic number.

151725830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151725830400 is the 389520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151725830400

151725830400 is an abundant number, since it is smaller than the sum of its proper divisors (410312580303).

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

151725830400 is an frugal number, since it uses more digits than its factorization.

151725830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 151725830400 by its sum of digits (36), we get a square (5462129894400 = 2337120²).

151725830400 divided by its sum of digits (36) gives a square (4214606400 = 64920²).

The spelling of 151725830400 in words is "one hundred fifty-one billion, seven hundred twenty-five million, eight hundred thirty thousand, four hundred".