1952075136 has 256 divisors, whose sum is σ = 6006804480. Its totient is φ = 555878400.

The previous prime is 1952075131. The next prime is 1952075141. The reversal of 1952075136 is 6315702591.

It is an interprime number because it is at equal distance from previous prime (1952075131) and next prime (1952075141).

It is a junction number, because it is equal to n+sod(n) for n = 1952075094 and 1952075103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952075131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6897651 + ... + 6897933.

It is an arithmetic number, because the mean of its divisors is an integer number (23464080).

Almost surely, 2^1952075136 is an apocalyptic number.

1952075136 is a gapful number since it is divisible by the number (16) 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 1952075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003402240).

1952075136 is an abundant number, since it is smaller than the sum of its proper divisors (4054729344).

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

1952075136 is a wasteful number, since it uses less digits than its factorization.

1952075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1952075136 is about 44182.2943722935. The cubic root of 1952075136 is about 1249.7759888709.

The spelling of 1952075136 in words is "one billion, nine hundred fifty-two million, seventy-five thousand, one hundred thirty-six".