90142256169 has 135 divisors (see below), whose sum is σ = 166643554467. Its totient is φ = 46808149248.

The previous prime is 90142256161. The next prime is 90142256173. The reversal of 90142256169 is 96165224109.

The square root of 90142256169 is 300237.

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

90142256169 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 2 + 25 + 616 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 16436522025 + 73705734144 = 128205^2 + 271488^2 .

It is not a de Polignac number, because 90142256169 - 2³ = 90142256161 is a prime.

It is a super-2 number, since 2×90142256169² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90142256161) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3108353647 + ... + 3108353675.

Almost surely, 2^90142256169 is an apocalyptic number.

90142256169 is the 300237-th square number.

90142256169 is the 150119-th centered octagonal number.

It is an amenable number.

90142256169 is a deficient number, since it is larger than the sum of its proper divisors (76501298298).

90142256169 is an frugal number, since it uses more digits than its factorization.

90142256169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 90142256169 in words is "ninety billion, one hundred forty-two million, two hundred fifty-six thousand, one hundred sixty-nine".