189729540 has 504 divisors, whose sum is σ = 806476608. Its totient is φ = 36391680.

The previous prime is 189729521. The next prime is 189729557. The reversal of 189729540 is 45927981.

189729540 is a `hidden beast` number, since 1 + 89 + 7 + 29 + 540 = 666.

It is a super-2 number, since 2×189729540² = 71994596697223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14594574 + ... + 14594586.

It is an arithmetic number, because the mean of its divisors is an integer number (1600152).

Almost surely, 2^189729540 is an apocalyptic number.

189729540 is a gapful number since it is divisible by the number (10) 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 189729540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403238304).

189729540 is an abundant number, since it is smaller than the sum of its proper divisors (616747068).

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

189729540 is a wasteful number, since it uses less digits than its factorization.

189729540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 189729540 is about 13774.2346429847. The cubic root of 189729540 is about 574.6167982367.

The spelling of 189729540 in words is "one hundred eighty-nine million, seven hundred twenty-nine thousand, five hundred forty".