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136448153460 = 223252926139493
BaseRepresentation
bin111111100010011110…
…0011001011101110100
3111001012022021101021100
41333010330121131310
54213421211402320
6142403341250100
712600212111403
oct1770474313564
9431168241240
10136448153460
115295a475283
1222540263930
13cb36a71958
146865a1563a
153838ec2790
hex1fc4f19774

136448153460 has 72 divisors (see below), whose sum is σ = 428164911720. Its totient is φ = 35131477248.

The previous prime is 136448153441. The next prime is 136448153461. The reversal of 136448153460 is 64351844631.

136448153460 is a `hidden beast` number, since 1 + 3 + 64 + 4 + 81 + 53 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13592295396 + 122855858064 = 116586^2 + 350508^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136448153461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13064527 + ... + 13074966.

It is an arithmetic number, because the mean of its divisors is an integer number (5946734885).

Almost surely, 2136448153460 is an apocalyptic number.

136448153460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136448153460 is an abundant number, since it is smaller than the sum of its proper divisors (291716758260).

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

136448153460 is a wasteful number, since it uses less digits than its factorization.

136448153460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26139537 (or 26139532 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 136448153460 in words is "one hundred thirty-six billion, four hundred forty-eight million, one hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 26139493 52278986 78418479 104557972 130697465 156836958 235255437 261394930 313673916 392092395 470510874 522789860 758045297 784184790 941021748 1176277185 1516090594 1568369580 2274135891 2352554370 3032181188 3790226485 4548271782 4705108740 6822407673 7580452970 9096543564 11370679455 13644815346 15160905940 22741358910 27289630692 34112038365 45482717820 68224076730 136448153460