190693152 has 216 divisors, whose sum is σ = 614829852. Its totient is φ = 55710720.

The previous prime is 190693141. The next prime is 190693159. The reversal of 190693152 is 251396091.

It can be written as a sum of positive squares in 2 ways, for example, as 189447696 + 1245456 = 13764^2 + 1116^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (190693159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3597958 + ... + 3598010.

Almost surely, 2^190693152 is an apocalyptic number.

190693152 is a gapful number since it is divisible by the number (12) 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 190693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307414926).

190693152 is an abundant number, since it is smaller than the sum of its proper divisors (424136700).

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

190693152 is a wasteful number, since it uses less digits than its factorization.

190693152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 190693152 is about 13809.1691277933. The cubic root of 190693152 is about 575.5879576300.

The spelling of 190693152 in words is "one hundred ninety million, six hundred ninety-three thousand, one hundred fifty-two".