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136132380160 = 295721935623
BaseRepresentation
bin111111011001000011…
…1110100011000000000
3111000101022002102201221
41332302013310120000
54212244342131120
6142312141204424
712556326065500
oct1766207643000
9430338072657
10136132380160
11528081a8107
1222472560714
13cab651054a
146835ad7a00
15381b3ea0aa
hex1fb21f4600

136132380160 has 240 divisors, whose sum is σ = 381723398496. Its totient is φ = 46423867392.

The previous prime is 136132380149. The next prime is 136132380179. The reversal of 136132380160 is 61083231631.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24207109 + ... + 24212731.

Almost surely, 2136132380160 is an apocalyptic number.

136132380160 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 136132380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190861699248).

136132380160 is an abundant number, since it is smaller than the sum of its proper divisors (245591018336).

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

136132380160 is an equidigital number, since it uses as much as digits as its factorization.

136132380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 136132380160 in words is "one hundred thirty-six billion, one hundred thirty-two million, three hundred eighty thousand, one hundred sixty".