133762090225 has 27 divisors (see below), whose sum is σ = 167169927393. Its totient is φ = 106174333440.

The previous prime is 133762090183. The next prime is 133762090271. The reversal of 133762090225 is 522090267331.

The square root of 133762090225 is 365735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21512968929 + 112249121296 = 146673^2 + 335036^2 .

It is not a de Polignac number, because 133762090225 - 2¹³ = 133762082033 is a prime.

It is a super-2 number, since 2×133762090225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352934086 + ... + 352934464.

Almost surely, 2^133762090225 is an apocalyptic number.

133762090225 is the 365735-th square number.

133762090225 is the 182868-th centered octagonal number.

It is an amenable number.

133762090225 is a deficient number, since it is larger than the sum of its proper divisors (33407837168).

133762090225 is an frugal number, since it uses more digits than its factorization.

133762090225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 133762090225 in words is "one hundred thirty-three billion, seven hundred sixty-two million, ninety thousand, two hundred twenty-five".