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134094840 = 2335112931113
BaseRepresentation
bin1111111111000…
…01111111111000
3100100022201112120
413333201333320
5233312013330
621150041240
73215534025
oct777417770
9310281476
10134094840
1169769490
1238aa9220
1321a20579
1413b4854c
15bb8bc10
hex7fe1ff8

134094840 has 256 divisors, whose sum is σ = 472780800. Its totient is φ = 30105600.

The previous prime is 134094833. The next prime is 134094859. The reversal of 134094840 is 48490431.

It is a happy number.

It is a super-2 number, since 2×1340948402 = 35962852229251200, which contains 22 as substring.

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

It is a zygodrome in base 2.

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, 1186624 + ... + 1186736.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2134094840 is an apocalyptic number.

134094840 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 134094840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

134094840 is an abundant number, since it is smaller than the sum of its proper divisors (338685960).

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

134094840 is a wasteful number, since it uses less digits than its factorization.

134094840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 134094840 is about 11579.9326422911. The cubic root of 134094840 is about 511.8436921133.

The spelling of 134094840 in words is "one hundred thirty-four million, ninety-four thousand, eight hundred forty".