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134731609920 = 2632597148179
BaseRepresentation
bin111110101111010100…
…0010011011101000000
3110212202200021221012200
41331132220103131000
54201412243004140
6141521141553200
712506526534315
oct1753650233500
9425680257180
10134731609920
1152159532756
1222141415800
13c92225230b
146741a64d0c
153788452030
hex1f5ea13740

134731609920 has 168 divisors, whose sum is σ = 463907489760. Its totient is φ = 35890682880.

The previous prime is 134731609913. The next prime is 134731609927. The reversal of 134731609920 is 29906137431.

134731609920 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 31 + 609 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134731609913) and next prime (134731609927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134731609927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2772391 + ... + 2820569.

Almost surely, 2134731609920 is an apocalyptic number.

134731609920 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 134731609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231953744880).

134731609920 is an abundant number, since it is smaller than the sum of its proper divisors (329175879840).

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

134731609920 is a wasteful number, since it uses less digits than its factorization.

134731609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49173 (or 49160 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 134731609920 in words is "one hundred thirty-four billion, seven hundred thirty-one million, six hundred nine thousand, nine hundred twenty".