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134351137620 = 2235576758943
BaseRepresentation
bin111110100011111110…
…0111010101101010100
3110211210011100221100000
41331013330322231110
54200122342400440
6141415311051300
712464226553530
oct1750774725524
9424704327300
10134351137620
1151a83795237
1222055b10b30
13c89148a18b
146707304bc0
153764d49730
hex1f47f3ab54

134351137620 has 288 divisors, whose sum is σ = 490217914368. Its totient is φ = 30249977472.

The previous prime is 134351137619. The next prime is 134351137651. The reversal of 134351137620 is 26731153431.

134351137620 is a `hidden beast` number, since 13 + 4 + 3 + 5 + 1 + 13 + 7 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2249869 + ... + 2308811.

It is an arithmetic number, because the mean of its divisors is an integer number (1702145536).

Almost surely, 2134351137620 is an apocalyptic number.

134351137620 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 134351137620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245108957184).

134351137620 is an abundant number, since it is smaller than the sum of its proper divisors (355866776748).

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

134351137620 is a wasteful number, since it uses less digits than its factorization.

134351137620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59041 (or 59027 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 134351137620 in words is "one hundred thirty-four billion, three hundred fifty-one million, one hundred thirty-seven thousand, six hundred twenty".