151094124441225 has 243 divisors, whose sum is σ = 317159077950741. Its totient is φ = 68560054416000.

The previous prime is 151094124441193. The next prime is 151094124441233. The reversal of 151094124441225 is 522144421490151.

The square root of 151094124441225 is 12292035.

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

151094124441225 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 9 + 412 + 4 + 4 + 4 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10252105975881 + 140842018465344 = 3201891^2 + 11867688^2 .

It is not a de Polignac number, because 151094124441225 - 2⁵ = 151094124441193 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 215540833375 + ... + 215540834075.

Almost surely, 2^{151094124441225} is an apocalyptic number.

151094124441225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151094124441225 is the 12292035-th square number.

151094124441225 is the 6146018-th centered octagonal number.

It is an amenable number.

151094124441225 is an abundant number, since it is smaller than the sum of its proper divisors (166064953509516).

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

151094124441225 is an frugal number, since it uses more digits than its factorization.

151094124441225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 151094124441225 in words is "one hundred fifty-one trillion, ninety-four billion, one hundred twenty-four million, four hundred forty-one thousand, two hundred twenty-five".