141187920 has 80 divisors (see below), whose sum is σ = 447893952. Its totient is φ = 36771840.

The previous prime is 141187901. The next prime is 141187927. The reversal of 141187920 is 29781141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×141187920³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141187927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3480 + ... + 17160.

Almost surely, 2^141187920 is an apocalyptic number.

141187920 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 141187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223946976).

141187920 is an abundant number, since it is smaller than the sum of its proper divisors (306706032).

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

141187920 is a wasteful number, since it uses less digits than its factorization.

141187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 141187920 is about 11882.2523117463. The cubic root of 141187920 is about 520.7139109378.

The spelling of 141187920 in words is "one hundred forty-one million, one hundred eighty-seven thousand, nine hundred twenty".