Search a number
-
+
136054748736 = 26344721092
BaseRepresentation
bin111111010110101111…
…1101011011001000000
3111000011220000100110000
41332231133223121000
54212120003424421
6142300325240000
712554364166014
oct1765537533100
9430156010400
10136054748736
11527783a4505
1222450563000
13caa33cc2aa
14682968a544
1538146b3226
hex1fad7eb640

136054748736 has 315 divisors, whose sum is σ = 415887678129. Its totient is φ = 43979438592.

The previous prime is 136054748723. The next prime is 136054748741. The reversal of 136054748736 is 637847450631.

It is a happy number.

The square root of 136054748736 is 368856.

It is a perfect power (a square), and thus also a powerful number.

136054748736 is a `hidden beast` number, since 1 + 3 + 60 + 5 + 474 + 87 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94829507136 + 41225241600 = 307944^2 + 203040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1248208650 + ... + 1248208758.

Almost surely, 2136054748736 is an apocalyptic number.

136054748736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136054748736 is the 368856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136054748736

136054748736 is an abundant number, since it is smaller than the sum of its proper divisors (279832929393).

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

136054748736 is an frugal number, since it uses more digits than its factorization.

136054748736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 136054748736 in words is "one hundred thirty-six billion, fifty-four million, seven hundred forty-eight thousand, seven hundred thirty-six".