Search a number
-
+
133937134240 = 25571310191079
BaseRepresentation
bin111110010111101000…
…1100111101010100000
3110210201022100101110111
41330233101213222200
54143300401243430
6141310241341104
712451041566560
oct1745721475240
9423638311414
10133937134240
1151891025388
1221b5b337794
13c826784a70
1466a8336da0
15373d81bc2a
hex1f2f467aa0

133937134240 has 192 divisors, whose sum is σ = 393308213760. Its totient is φ = 41968742400.

The previous prime is 133937134229. The next prime is 133937134291. The reversal of 133937134240 is 42431739331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 133937134193 and 133937134202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425021 + ... + 1516099.

It is an arithmetic number, because the mean of its divisors is an integer number (2048480280).

Almost surely, 2133937134240 is an apocalyptic number.

133937134240 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 133937134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196654106880).

133937134240 is an abundant number, since it is smaller than the sum of its proper divisors (259371079520).

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

133937134240 is a wasteful number, since it uses less digits than its factorization.

133937134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91215 (or 91207 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 133937134240 in words is "one hundred thirty-three billion, nine hundred thirty-seven million, one hundred thirty-four thousand, two hundred forty".