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134465400 = 23335237673
BaseRepresentation
bin10000000001111…
…00011101111000
3100101000112212000
420000330131320
5233410343100
621202021000
73221636256
oct1000743570
9311015760
10134465400
11699a1933
1239047760
1321b20134
1413c035d6
15bc11900
hex803c778

134465400 has 192 divisors, whose sum is σ = 476383200. Its totient is φ = 34836480.

The previous prime is 134465389. The next prime is 134465407. The reversal of 134465400 is 4564431.

134465400 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 654 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134465407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199464 + ... + 200136.

Almost surely, 2134465400 is an apocalyptic number.

134465400 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 134465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238191600).

134465400 is an abundant number, since it is smaller than the sum of its proper divisors (341917800).

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

134465400 is a wasteful number, since it uses less digits than its factorization.

134465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 134465400 is about 11595.9216968726. The cubic root of 134465400 is about 512.3147377178.

The spelling of 134465400 in words is "one hundred thirty-four million, four hundred sixty-five thousand, four hundred".