150572041808400 has 225 divisors, whose sum is σ = 540398902217053. Its totient is φ = 40151955484800.

The previous prime is 150572041808371. The next prime is 150572041808401. The reversal of 150572041808400 is 4808140275051.

The square root of 150572041808400 is 12270780.

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

150572041808400 is a `hidden beast` number, since 1 + 505 + 7 + 20 + 4 + 1 + 80 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54205935051024 + 96366106757376 = 7362468^2 + 9816624^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150572041808401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2208706315 + ... + 2208774485.

Almost surely, 2^{150572041808400} is an apocalyptic number.

150572041808400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150572041808400 is the 12270780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150572041808400

150572041808400 is an abundant number, since it is smaller than the sum of its proper divisors (389826860408653).

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

150572041808400 is an frugal number, since it uses more digits than its factorization.

150572041808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136372 (or 68181 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 150572041808400 in words is "one hundred fifty trillion, five hundred seventy-two billion, forty-one million, eight hundred eight thousand, four hundred".