142945920 has 384 divisors, whose sum is σ = 561375360. Its totient is φ = 33251328.

The previous prime is 142945903. The next prime is 142945931. The reversal of 142945920 is 29549241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722199 + ... + 1722281.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^142945920 is an apocalyptic number.

142945920 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 142945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

142945920 is an abundant number, since it is smaller than the sum of its proper divisors (418429440).

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

142945920 is a wasteful number, since it uses less digits than its factorization.

142945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 142945920 is about 11955.9993308799. Note that the first 3 decimals coincide. The cubic root of 142945920 is about 522.8662237196.

The spelling of 142945920 in words is "one hundred forty-two million, nine hundred forty-five thousand, nine hundred twenty".