155742537699225 has 243 divisors, whose sum is σ = 296967477514071. Its totient is φ = 78017000371200.

The previous prime is 155742537699181. The next prime is 155742537699227. The reversal of 155742537699225 is 522996735247551.

The square root of 155742537699225 is 12479685.

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

155742537699225 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 4 + 2 + 537 + 69 + 9 + 2 + 25 = 666.

155742537699225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 152014178336409 + 3728359362816 = 12329403^2 + 1930896^2 .

It is not a de Polignac number, because 155742537699225 - 2⁴⁷ = 15005049343897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (155742537699227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 262634970529 + ... + 262634971121.

Almost surely, 2^{155742537699225} is an apocalyptic number.

155742537699225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

155742537699225 is the 12479685-th square number.

155742537699225 is the 6239843-rd centered octagonal number.

It is an amenable number.

155742537699225 is a deficient number, since it is larger than the sum of its proper divisors (141224939814846).

155742537699225 is an frugal number, since it uses more digits than its factorization.

155742537699225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 72.

The spelling of 155742537699225 in words is "one hundred fifty-five trillion, seven hundred forty-two billion, five hundred thirty-seven million, six hundred ninety-nine thousand, two hundred twenty-five".