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135922472 = 23722691289
BaseRepresentation
bin10000001101000…
…00001100101000
3100110202120120122
420012200030220
5234244004342
621253142412
73240215300
oct1006401450
9313676518
10135922472
116a7a7624
123962aa08
13222103ca
14140a2600
15bded4d2
hex81a0328

135922472 has 48 divisors (see below), whose sum is σ = 297796500. Its totient is φ = 57990912.

The previous prime is 135922459. The next prime is 135922481. The reversal of 135922472 is 274229531.

It is a happy number.

135922472 is digitally balanced in base 3, 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 2 ways, for example, as 134699236 + 1223236 = 11606^2 + 1106^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104804 + ... + 106092.

Almost surely, 2135922472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135922472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148898250).

135922472 is an abundant number, since it is smaller than the sum of its proper divisors (161874028).

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

135922472 is a wasteful number, since it uses less digits than its factorization.

135922472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1567 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 135922472 is about 11658.5793302615. The cubic root of 135922472 is about 514.1585807734.

The spelling of 135922472 in words is "one hundred thirty-five million, nine hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 269 392 538 1076 1289 1883 2152 2578 3766 5156 7532 9023 10312 13181 15064 18046 26362 36092 52724 63161 72184 105448 126322 252644 346741 505288 693482 1386964 2427187 2773928 4854374 9708748 16990309 19417496 33980618 67961236 135922472