142789680 has 240 divisors, whose sum is σ = 530992800. Its totient is φ = 34383360.

The previous prime is 142789667. The next prime is 142789687. The reversal of 142789680 is 86987241.

142789680 = T₈₆ + T₈₇ + ... + T₉₄₉.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (142789687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958246 + ... + 958394.

It is an arithmetic number, because the mean of its divisors is an integer number (2212470).

Almost surely, 2^142789680 is an apocalyptic number.

142789680 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 142789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265496400).

142789680 is an abundant number, since it is smaller than the sum of its proper divisors (388203120).

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

142789680 is a wasteful number, since it uses less digits than its factorization.

142789680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 142789680 is about 11949.4635862870. The cubic root of 142789680 is about 522.6756565451.

The spelling of 142789680 in words is "one hundred forty-two million, seven hundred eighty-nine thousand, six hundred eighty".