189437952 has 96 divisors (see below), whose sum is σ = 551154240. Its totient is φ = 57384960.

The previous prime is 189437951. The next prime is 189438047. The reversal of 189437952 is 259734981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189437951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66183 + ... + 68985.

It is an arithmetic number, because the mean of its divisors is an integer number (5741190).

Almost surely, 2^189437952 is an apocalyptic number.

189437952 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 189437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275577120).

189437952 is an abundant number, since it is smaller than the sum of its proper divisors (361716288).

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

189437952 is a wasteful number, since it uses less digits than its factorization.

189437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2819 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 189437952 is about 13763.6460285783. The cubic root of 189437952 is about 574.3222785207.

It can be divided in two parts, 1894379 and 52, that added together give a triangular number (1894431 = T₁₉₄₆).

The spelling of 189437952 in words is "one hundred eighty-nine million, four hundred thirty-seven thousand, nine hundred fifty-two".