133025516423625 has 192 divisors, whose sum is σ = 270096267018240. Its totient is φ = 57863101296000.

The previous prime is 133025516423609. The next prime is 133025516423663. The reversal of 133025516423625 is 526324615520331.

It is not a de Polignac number, because 133025516423625 - 2⁴ = 133025516423609 is a prime.

It is a super-2 number, since 2×133025516423625² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79897396 + ... + 81545354.

It is an arithmetic number, because the mean of its divisors is an integer number (1406751390720).

Almost surely, 2^{133025516423625} is an apocalyptic number.

133025516423625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133025516423625 is an abundant number, since it is smaller than the sum of its proper divisors (137070750594615).

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

133025516423625 is a wasteful number, since it uses less digits than its factorization.

133025516423625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648205 (or 1648188 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 133025516423625 in words is "one hundred thirty-three trillion, twenty-five billion, five hundred sixteen million, four hundred twenty-three thousand, six hundred twenty-five".