142753080 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 32514048.

The previous prime is 142753069. The next prime is 142753133. The reversal of 142753080 is 80357241.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1123977 + ... + 1124103.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^142753080 is an apocalyptic number.

142753080 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 142753080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

142753080 is an abundant number, since it is smaller than the sum of its proper divisors (354910920).

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

142753080 is a wasteful number, since it uses less digits than its factorization.

142753080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 142753080 is about 11947.9320386417. The cubic root of 142753080 is about 522.6309951389.

The spelling of 142753080 in words is "one hundred forty-two million, seven hundred fifty-three thousand, eighty".