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134020406520 = 233457111331243
BaseRepresentation
bin111110011010000111…
…1010001110011111000
3110210221010001001120000
41330310033101303320
54143433211002040
6141322414233000
712453102442110
oct1746417216370
9423833031500
10134020406520
1151924031050
1221b831b5760
13c83aabc6c0
1466b5412040
153745cba130
hex1f343d1cf8

134020406520 has 1920 divisors, whose sum is σ = 639483102720. Its totient is φ = 24298444800.

The previous prime is 134020406497. The next prime is 134020406549. The reversal of 134020406520 is 25604020431.

134020406520 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 0 + 4 + 0 + 652 + 0 = 666.

It is a super-2 number, since 2×1340204065202 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3116753619 + ... + 3116753661.

It is an arithmetic number, because the mean of its divisors is an integer number (333064116).

Almost surely, 2134020406520 is an apocalyptic number.

134020406520 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 134020406520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319741551360).

134020406520 is an abundant number, since it is smaller than the sum of its proper divisors (505462696200).

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

134020406520 is a wasteful number, since it uses less digits than its factorization.

134020406520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 134020406520 its reverse (25604020431), we get a palindrome (159624426951).

The spelling of 134020406520 in words is "one hundred thirty-four billion, twenty million, four hundred six thousand, five hundred twenty".