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134113392 = 24327283229
BaseRepresentation
bin1111111111001…
…10100001110000
3100100100122222200
413333212201300
5233313112032
621150303200
73215642100
oct777464160
9310318880
10134113392
1169781416
1238ab7b00
1321a28b4a
1413b51200
15bb9247c
hex7fe6870

134113392 has 180 divisors, whose sum is σ = 443799720. Its totient is φ = 37691136.

The previous prime is 134113387. The next prime is 134113393. The reversal of 134113392 is 293311431.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1944) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134113393) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 585534 + ... + 585762.

It is an arithmetic number, because the mean of its divisors is an integer number (2465554).

Almost surely, 2134113392 is an apocalyptic number.

134113392 is a gapful number since it is divisible by the number (12) 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 134113392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221899860).

134113392 is an abundant number, since it is smaller than the sum of its proper divisors (309686328).

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

134113392 is a wasteful number, since it uses less digits than its factorization.

134113392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 134113392 is about 11580.7336555160. The cubic root of 134113392 is about 511.8672955229.

It can be divided in two parts, 134 and 113392, that added together give a triangular number (113526 = T476).

The spelling of 134113392 in words is "one hundred thirty-four million, one hundred thirteen thousand, three hundred ninety-two".