140829920 has 288 divisors, whose sum is σ = 446777856. Its totient is φ = 41395200.

The previous prime is 140829917. The next prime is 140829959. The reversal of 140829920 is 29928041.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983485 + ... + 1983555.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^140829920 is an apocalyptic number.

140829920 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 140829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223388928).

140829920 is an abundant number, since it is smaller than the sum of its proper divisors (305947936).

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

140829920 is a wasteful number, since it uses less digits than its factorization.

140829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 140829920 is about 11867.1782661254. The cubic root of 140829920 is about 520.2734262216.

The spelling of 140829920 in words is "one hundred forty million, eight hundred twenty-nine thousand, nine hundred twenty".