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134374464 = 263472232
BaseRepresentation
bin10000000001001…
…10010001000000
3100100211221010000
420000212101000
5233344440324
621200040000
73221110200
oct1000462100
9310757100
10134374464
116993a584
1239003000
1321aba923
1413bbc400
15bbe49c9
hex8026440

134374464 has 315 divisors, whose sum is σ = 484383207. Its totient is φ = 36723456.

The previous prime is 134374459. The next prime is 134374469. The reversal of 134374464 is 464473431.

The square root of 134374464 is 11592.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (134374459) and next prime (134374469).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (96768) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (134374469) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5842357 + ... + 5842379.

Almost surely, 2134374464 is an apocalyptic number.

134374464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

134374464 is the 11592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134374464

134374464 is an abundant number, since it is smaller than the sum of its proper divisors (350008743).

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

134374464 is an equidigital number, since it uses as much as digits as its factorization.

134374464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The cubic root of 134374464 is about 512.1992226013.

Multiplying 134374464 by its sum of digits (36), we get a square (4837480704 = 695522).

134374464 divided by its sum of digits (36) gives a square (3732624 = 19322).

The spelling of 134374464 in words is "one hundred thirty-four million, three hundred seventy-four thousand, four hundred sixty-four".