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135295740 = 22325751643
BaseRepresentation
bin10000001000001…
…11001011111100
3100102120201212100
420010013023330
5234113430430
621231505100
73231665136
oct1004071374
9312521770
10135295740
116a409768
1239388190
1322051068
1413d7c056
15bd27960
hex81072fc

135295740 has 36 divisors (see below), whose sum is σ = 410397624. Its totient is φ = 36078816.

The previous prime is 135295739. The next prime is 135295747. The reversal of 135295740 is 47592531.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 135295695 and 135295704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135295747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375642 + ... + 376001.

It is an arithmetic number, because the mean of its divisors is an integer number (11399934).

Almost surely, 2135295740 is an apocalyptic number.

135295740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135295740 is an abundant number, since it is smaller than the sum of its proper divisors (275101884).

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

135295740 is a wasteful number, since it uses less digits than its factorization.

135295740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751658 (or 751653 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135295740 is about 11631.6696995745. The cubic root of 135295740 is about 513.3671095258.

The spelling of 135295740 in words is "one hundred thirty-five million, two hundred ninety-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 751643 1503286 2254929 3006572 3758215 4509858 6764787 7516430 9019716 11274645 13529574 15032860 22549290 27059148 33823935 45098580 67647870 135295740