133515125040 has 80 divisors (see below), whose sum is σ = 451523886336. Its totient is φ = 32367302400.

The previous prime is 133515125033. The next prime is 133515125047. The reversal of 133515125040 is 40521515331.

It is an interprime number because it is at equal distance from previous prime (133515125033) and next prime (133515125047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133515125040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133515124989 and 133515125007.

It is not an unprimeable number, because it can be changed into a prime (133515125047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25284316 + ... + 25289595.

Almost surely, 2^133515125040 is an apocalyptic number.

133515125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133515125040 is an abundant number, since it is smaller than the sum of its proper divisors (318008761296).

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

133515125040 is a wasteful number, since it uses less digits than its factorization.

133515125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50573938 (or 50573932 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 133515125040 in words is "one hundred thirty-three billion, five hundred fifteen million, one hundred twenty-five thousand, forty".