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135077380 = 22537182537
BaseRepresentation
bin10000000110100…
…01111000000100
3100102011122022221
420003101320010
5234034434010
621223102124
73230065414
oct1003217004
9312148287
10135077380
116a27a6a9
12392a1944
1321ca5859
1413d22644
15bcd2dda
hex80d1e04

135077380 has 24 divisors (see below), whose sum is σ = 291330648. Its totient is φ = 52570368.

The previous prime is 135077353. The next prime is 135077387. The reversal of 135077380 is 83770531.

It can be written as a sum of positive squares in 4 ways, for example, as 44408896 + 90668484 = 6664^2 + 9522^2 .

It is not an unprimeable number, because it can be changed into a prime (135077387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90529 + ... + 92008.

It is an arithmetic number, because the mean of its divisors is an integer number (12138777).

Almost surely, 2135077380 is an apocalyptic number.

135077380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135077380 is an abundant number, since it is smaller than the sum of its proper divisors (156253268).

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

135077380 is a wasteful number, since it uses less digits than its factorization.

135077380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182583 (or 182581 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 135077380 is about 11622.2794666107. The cubic root of 135077380 is about 513.0907785703.

The spelling of 135077380 in words is "one hundred thirty-five million, seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 182537 365074 730148 912685 1825370 3650740 6753869 13507738 27015476 33769345 67538690 135077380