1959434136 has 96 divisors (see below), whose sum is σ = 5912524800. Its totient is φ = 581123520.

The previous prime is 1959434129. The next prime is 1959434153. The reversal of 1959434136 is 6314349591.

1959434136 is a `hidden beast` number, since 19 + 594 + 3 + 41 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1959434091 and 1959434100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10905 + ... + 63543.

It is an arithmetic number, because the mean of its divisors is an integer number (61588800).

Almost surely, 2^1959434136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1959434136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956262400).

1959434136 is an abundant number, since it is smaller than the sum of its proper divisors (3953090664).

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

1959434136 is a wasteful number, since it uses less digits than its factorization.

1959434136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52709 (or 52702 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1959434136 is about 44265.4959985766. The cubic root of 1959434136 is about 1251.3445023456.

The spelling of 1959434136 in words is "one billion, nine hundred fifty-nine million, four hundred thirty-four thousand, one hundred thirty-six".