141977920 has 112 divisors (see below), whose sum is σ = 389461248. Its totient is φ = 48291840.

The previous prime is 141977909. The next prime is 141977933. The reversal of 141977920 is 29779141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 539709 + ... + 539971.

Almost surely, 2^141977920 is an apocalyptic number.

141977920 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 141977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194730624).

141977920 is an abundant number, since it is smaller than the sum of its proper divisors (247483328).

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

141977920 is a wasteful number, since it uses less digits than its factorization.

141977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 141977920 is about 11915.4487955763. The cubic root of 141977920 is about 521.6833024644.

The spelling of 141977920 in words is "one hundred forty-one million, nine hundred seventy-seven thousand, nine hundred twenty".