151782400 has 297 divisors, whose sum is σ = 481067517. Its totient is φ = 47308800.

The previous prime is 151782383. The next prime is 151782467. The reversal of 151782400 is 4287151.

The square root of 151782400 is 12320.

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

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 97140736 = 7392^2 + 9856^2 .

It is a super-4 number, since 4×151782400⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13798395 + ... + 13798405.

Almost surely, 2^151782400 is an apocalyptic number.

151782400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151782400 is the 12320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151782400

151782400 is an abundant number, since it is smaller than the sum of its proper divisors (329285117).

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

151782400 is a wasteful number, since it uses less digits than its factorization.

151782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The cubic root of 151782400 is about 533.4255396134.

It can be divided in two parts, 15178 and 2400, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 151782400 in words is "one hundred fifty-one million, seven hundred eighty-two thousand, four hundred".