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134397031104 = 263271737197269
BaseRepresentation
bin111110100101010101…
…1111111001011000000
3110211220100201120100200
41331022223333023000
54200221114443404
6141424030445200
712465324626010
oct1751253771300
9424810646320
10134397031104
1151aa7690736
1222069363800
13c89ab3839b
14670d44dc40
153768db2839
hex1f4aaff2c0

134397031104 has 672 divisors, whose sum is σ = 482972181120. Its totient is φ = 34855059456.

The previous prime is 134397031103. The next prime is 134397031123. The reversal of 134397031104 is 401130793431.

It is a happy number.

134397031104 is a `hidden beast` number, since 134 + 397 + 0 + 31 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (134397031103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499617082 + ... + 499617350.

Almost surely, 2134397031104 is an apocalyptic number.

134397031104 is a gapful number since it is divisible by the number (14) 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 134397031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241486090560).

134397031104 is an abundant number, since it is smaller than the sum of its proper divisors (348575150016).

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

134397031104 is a wasteful number, since it uses less digits than its factorization.

134397031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 134397031104 in words is "one hundred thirty-four billion, three hundred ninety-seven million, thirty-one thousand, one hundred four".