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134380512 = 25337171307
BaseRepresentation
bin10000000001001…
…11101111100000
3100100212020102000
420000213233200
5233400134022
621200124000
73221133630
oct1000475740
9310766360
10134380512
1169944082
1239006600
1321ac05c6
1413bc06c0
15bbe66ac
hex8027be0

134380512 has 192 divisors, whose sum is σ = 474647040. Its totient is φ = 36108288.

The previous prime is 134380507. The next prime is 134380523. The reversal of 134380512 is 215083431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102163 + ... + 103469.

It is an arithmetic number, because the mean of its divisors is an integer number (2472120).

Almost surely, 2134380512 is an apocalyptic number.

134380512 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 134380512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237323520).

134380512 is an abundant number, since it is smaller than the sum of its proper divisors (340266528).

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

134380512 is a wasteful number, since it uses less digits than its factorization.

134380512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 134380512 is about 11592.2608666299. The cubic root of 134380512 is about 512.2069069344.

The spelling of 134380512 in words is "one hundred thirty-four million, three hundred eighty thousand, five hundred twelve".