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135153140 = 2256757657
BaseRepresentation
bin10000000111001…
…00010111110100
3100102022111020212
420003210113310
5234044400030
621224444552
73230532323
oct1003442764
9312274225
10135153140
116a321611
1239319758
1322001195
1413d420ba
15bcea595
hex80e45f4

135153140 has 12 divisors (see below), whose sum is σ = 283821636. Its totient is φ = 54061248.

The previous prime is 135153113. The next prime is 135153143. The reversal of 135153140 is 41351531.

135153140 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 73342096 + 61811044 = 8564^2 + 7862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135153143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3378809 + ... + 3378848.

It is an arithmetic number, because the mean of its divisors is an integer number (23651803).

Almost surely, 2135153140 is an apocalyptic number.

135153140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135153140 is an abundant number, since it is smaller than the sum of its proper divisors (148668496).

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

135153140 is a wasteful number, since it uses less digits than its factorization.

135153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6757666 (or 6757664 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 135153140 is about 11625.5382671083. The cubic root of 135153140 is about 513.1866853076.

The spelling of 135153140 in words is "one hundred thirty-five million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6757657 13515314 27030628 33788285 67576570 135153140