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134342232960 = 27351319833413
BaseRepresentation
bin111110100011101101…
…0111100101110000000
3110211202112121112102210
41331013122330232000
54200113102423320
6141414352142120
712464061065445
oct1750732745600
9424675545383
10134342232960
1151a79763011
1222052b37940
13c88c690050
1467060679cc
15376418b0e0
hex1f476bcb80

134342232960 has 512 divisors, whose sum is σ = 491419353600. Its totient is φ = 30941872128.

The previous prime is 134342232943. The next prime is 134342233007. The reversal of 134342232960 is 69232243431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39360214 + ... + 39363626.

It is an arithmetic number, because the mean of its divisors is an integer number (959803425).

Almost surely, 2134342232960 is an apocalyptic number.

134342232960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134342232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245709676800).

134342232960 is an abundant number, since it is smaller than the sum of its proper divisors (357077120640).

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

134342232960 is a wasteful number, since it uses less digits than its factorization.

134342232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 134342232960 in words is "one hundred thirty-four billion, three hundred forty-two million, two hundred thirty-two thousand, nine hundred sixty".