1916135424 has 144 divisors (see below), whose sum is σ = 6325169760. Its totient is φ = 547430400.

The previous prime is 1916135387. The next prime is 1916135437. The reversal of 1916135424 is 4245316191.

It is a happy number.

1916135424 is a `hidden beast` number, since 19 + 1 + 613 + 5 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121599 + ... + 136449.

It is an arithmetic number, because the mean of its divisors is an integer number (43924790).

Almost surely, 2^1916135424 is an apocalyptic number.

1916135424 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 1916135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162584880).

1916135424 is an abundant number, since it is smaller than the sum of its proper divisors (4409034336).

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

1916135424 is a wasteful number, since it uses less digits than its factorization.

1916135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886 (or 14863 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1916135424 is about 43773.6841492694. The cubic root of 1916135424 is about 1242.0585439198.

The spelling of 1916135424 in words is "one billion, nine hundred sixteen million, one hundred thirty-five thousand, four hundred twenty-four".