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135214769540 = 225291409165457
BaseRepresentation
bin111110111101101101…
…1011010010110000100
3110221000100102222121102
41331323123122112010
54203404440111130
6142041121435232
712524514402044
oct1757333322604
9427010388542
10135214769540
1152387237724
122225719bb18
13c99b38c196
146789cb5724
1537b5a90645
hex1f7b6da584

135214769540 has 48 divisors (see below), whose sum is σ = 293952682800. Its totient is φ = 52183498752.

The previous prime is 135214769531. The next prime is 135214769549. The reversal of 135214769540 is 45967412531.

It is a happy number.

135214769540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135214769531) and next prime (135214769549).

It can be written as a sum of positive squares in 8 ways, for example, as 63911884864 + 71302884676 = 252808^2 + 267026^2 .

It is not an unprimeable number, because it can be changed into a prime (135214769549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734492 + ... + 899948.

It is an arithmetic number, because the mean of its divisors is an integer number (6124014225).

Almost surely, 2135214769540 is an apocalyptic number.

135214769540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135214769540 is an abundant number, since it is smaller than the sum of its proper divisors (158737913260).

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

135214769540 is a wasteful number, since it uses less digits than its factorization.

135214769540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166904 (or 166902 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 135214769540 in words is "one hundred thirty-five billion, two hundred fourteen million, seven hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1409 2818 5636 7045 14090 28180 40861 81722 163444 165457 204305 330914 408610 661828 817220 827285 1654570 3309140 4798253 9596506 19193012 23991265 47982530 95965060 233128913 466257826 932515652 1165644565 2331289130 4662578260 6760738477 13521476954 27042953908 33803692385 67607384770 135214769540