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134396411520 = 2735723597369
BaseRepresentation
bin111110100101010100…
…1100111111010000000
3110211220022120002110010
41331022221213322000
54200220440132040
6141424005304520
712465316435440
oct1751251477200
9424808502403
10134396411520
1151aa72a8188
1222069105140
13c89a97c377
14670d32c120
153768cdde80
hex1f4aa67e80

134396411520 has 512 divisors, whose sum is σ = 519602688000. Its totient is φ = 28881616896.

The previous prime is 134396411519. The next prime is 134396411531. The reversal of 134396411520 is 25114693431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18234396 + ... + 18241764.

It is an arithmetic number, because the mean of its divisors is an integer number (1014849000).

Almost surely, 2134396411520 is an apocalyptic number.

134396411520 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 134396411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259801344000).

134396411520 is an abundant number, since it is smaller than the sum of its proper divisors (385206276480).

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

134396411520 is a wasteful number, since it uses less digits than its factorization.

134396411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 134396411520 in words is "one hundred thirty-four billion, three hundred ninety-six million, four hundred eleven thousand, five hundred twenty".