133007639209920 has 336 divisors, whose sum is σ = 486533976932640. Its totient is φ = 33255516930048.

The previous prime is 133007639209859. The next prime is 133007639209957. The reversal of 133007639209920 is 29902936700331.

133007639209920 is a `hidden beast` number, since 1 + 330 + 0 + 76 + 39 + 209 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7221517 + ... + 17837196.

It is an arithmetic number, because the mean of its divisors is an integer number (1448017788490).

Almost surely, 2^{133007639209920} is an apocalyptic number.

133007639209920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133007639209920 is an abundant number, since it is smaller than the sum of its proper divisors (353526337722720).

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

133007639209920 is a wasteful number, since it uses less digits than its factorization.

133007639209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25058852 (or 25058839 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 133007639209920 in words is "one hundred thirty-three trillion, seven billion, six hundred thirty-nine million, two hundred nine thousand, nine hundred twenty".