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136144872 = 23321890901
BaseRepresentation
bin10000001110101…
…10011111101000
3100111011212122200
420013112133220
5234323113442
621302020200
73242132553
oct1007263750
9314155580
10136144872
116a939726
1239717660
132228a6c6
141411d69a
15be4434c
hex81d67e8

136144872 has 24 divisors (see below), whose sum is σ = 368725890. Its totient is φ = 45381600.

The previous prime is 136144859. The next prime is 136144873. The reversal of 136144872 is 278441631.

136144872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 73513476 + 62631396 = 8574^2 + 7914^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136144873) 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, 945379 + ... + 945522.

Almost surely, 2136144872 is an apocalyptic number.

136144872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136144872 is an abundant number, since it is smaller than the sum of its proper divisors (232581018).

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

136144872 is a wasteful number, since it uses less digits than its factorization.

136144872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890913 (or 1890906 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 136144872 is about 11668.1134721942. The cubic root of 136144872 is about 514.4388546590.

The spelling of 136144872 in words is "one hundred thirty-six million, one hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1890901 3781802 5672703 7563604 11345406 15127208 17018109 22690812 34036218 45381624 68072436 136144872