Search a number
-
+
133151880960 = 28325712791291
BaseRepresentation
bin111110000000001111…
…0000111011100000000
3110201200120202101110200
41330000132013130000
54140143340142320
6141100310525200
712422425212450
oct1740036073400
9421616671420
10133151880960
1151518846a2a
1221980366800
13c72cb96157
146631d29d60
1536e4909290
hex1f00787700

133151880960 has 432 divisors, whose sum is σ = 527324528640. Its totient is φ = 30387363840.

The previous prime is 133151880941. The next prime is 133151880971. The reversal of 133151880960 is 69088151331.

It is a happy number.

133151880960 is a `hidden beast` number, since 13 + 31 + 518 + 8 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 103137915 + ... + 103139205.

Almost surely, 2133151880960 is an apocalyptic number.

133151880960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133151880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263662264320).

133151880960 is an abundant number, since it is smaller than the sum of its proper divisors (394172647680).

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

133151880960 is a wasteful number, since it uses less digits than its factorization.

133151880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 133151880960 in words is "one hundred thirty-three billion, one hundred fifty-one million, eight hundred eighty thousand, nine hundred sixty".