149829252706576 has 45 divisors (see below), whose sum is σ = 308376496442469. Its totient is φ = 70507491931392.

The previous prime is 149829252706447. The next prime is 149829252706577. The reversal of 149829252706576 is 675607252928941.

The square root of 149829252706576 is 12240476.

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

It can be written as a sum of positive squares in only one way, i.e., 116649072176400 + 33180180530176 = 10800420^2 + 5760224^2 .

It is a super-2 number, since 2×149829252706576² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 149829252706499 and 149829252706508.

It is not an unprimeable number, because it can be changed into a prime (149829252706577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 832262365 + ... + 832442371.

Almost surely, 2^{149829252706576} is an apocalyptic number.

149829252706576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149829252706576 is the 12240476-th square number.

It is an amenable number.

149829252706576 is an abundant number, since it is smaller than the sum of its proper divisors (158547243735893).

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

149829252706576 is an frugal number, since it uses more digits than its factorization.

149829252706576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360056 (or 180026 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 73.

The spelling of 149829252706576 in words is "one hundred forty-nine trillion, eight hundred twenty-nine billion, two hundred fifty-two million, seven hundred six thousand, five hundred seventy-six".