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134381940 = 2235711172959
BaseRepresentation
bin10000000001010…
…00000101110100
3100100212022100220
420000220011310
5233400210230
621200134340
73221141040
oct1000500564
9310768326
10134381940
1169945160
12390073b0
1321ac1154
1413bc1020
15bbe6d10
hex8028174

134381940 has 384 divisors, whose sum is σ = 522547200. Its totient is φ = 24944640.

The previous prime is 134381903. The next prime is 134381941. The reversal of 134381940 is 49183431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134381941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2277631 + ... + 2277689.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2134381940 is an apocalyptic number.

134381940 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 134381940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

134381940 is an abundant number, since it is smaller than the sum of its proper divisors (388165260).

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

134381940 is a wasteful number, since it uses less digits than its factorization.

134381940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 134381940 is about 11592.3224592831. The cubic root of 134381940 is about 512.2087212572.

The spelling of 134381940 in words is "one hundred thirty-four million, three hundred eighty-one thousand, nine hundred forty".