151200434025 has 45 divisors (see below), whose sum is σ = 280107886773. Its totient is φ = 80630899200.

The previous prime is 151200434003. The next prime is 151200434053. The reversal of 151200434025 is 520434002151.

The square root of 151200434025 is 388845.

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

151200434025 is a `hidden beast` number, since 1 + 5 + 1 + 200 + 434 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71723802969 + 79476631056 = 267813^2 + 281916^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 151200434025 - 2²⁵ = 151166879593 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 151200434025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17493705 + ... + 17502345.

Almost surely, 2^151200434025 is an apocalyptic number.

151200434025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151200434025 is the 388845-th square number.

151200434025 is the 194423-rd centered octagonal number.

It is an amenable number.

151200434025 is a deficient number, since it is larger than the sum of its proper divisors (128907452748).

151200434025 is an frugal number, since it uses more digits than its factorization.

151200434025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17304 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 151200434025 its reverse (520434002151), we get a palindrome (671634436176).

It can be divided in two parts, 151200 and 434025, that added together give a square (585225 = 765²).

The spelling of 151200434025 in words is "one hundred fifty-one billion, two hundred million, four hundred thirty-four thousand, twenty-five".