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133461351252 = 22323707259757
BaseRepresentation
bin111110001001011101…
…0101001101101010100
3110202111011002002220100
41330102322221231110
54141312101220002
6141151123534100
712433203524265
oct1742272515524
9422434062810
10133461351252
11516674a95a9
1221a47b2a330
13c77c02b678
14666108696c
153711b8911c
hex1f12ea9b54

133461351252 has 18 divisors (see below), whose sum is σ = 337360637978. Its totient is φ = 44487117072.

The previous prime is 133461351251. The next prime is 133461351329. The reversal of 133461351252 is 252153164331.

133461351252 is a `hidden beast` number, since 1 + 3 + 34 + 61 + 3 + 512 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79561228356 + 53900122896 = 282066^2 + 232164^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3707259757 = 133461351252 / (1 + 3 + 3 + 4 + 6 + 1 + 3 + 5 + 1 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133461351251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1853629843 + ... + 1853629914.

Almost surely, 2133461351252 is an apocalyptic number.

133461351252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133461351252 is an abundant number, since it is smaller than the sum of its proper divisors (203899286726).

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

133461351252 is a wasteful number, since it uses less digits than its factorization.

133461351252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707259767 (or 3707259762 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 133461351252 in words is "one hundred thirty-three billion, four hundred sixty-one million, three hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3707259757 7414519514 11121779271 14829039028 22243558542 33365337813 44487117084 66730675626 133461351252