147760091136 has 780 divisors, whose sum is σ = 525387941100. Its totient is φ = 41246392320.

The previous prime is 147760091123. The next prime is 147760091177. The reversal of 147760091136 is 631190067741.

147760091136 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 600 + 9 + 1 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10160640000 + 137599451136 = 100800^2 + 370944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 147760091091 and 147760091100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 991678390 + ... + 991678538.

Almost surely, 2^147760091136 is an apocalyptic number.

147760091136 is a gapful number since it is divisible by the number (16) 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 147760091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262693970550).

147760091136 is an abundant number, since it is smaller than the sum of its proper divisors (377627849964).

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

147760091136 is an equidigital number, since it uses as much as digits as its factorization.

147760091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 147760091136 in words is "one hundred forty-seven billion, seven hundred sixty million, ninety-one thousand, one hundred thirty-six".