142972416 has 240 divisors, whose sum is σ = 459613440. Its totient is φ = 42577920.

The previous prime is 142972373. The next prime is 142972447. The reversal of 142972416 is 614279241.

It is a happy number.

It is a super-2 number, since 2×142972416² = 40882223473754112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013661 + ... + 2013731.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^142972416 is an apocalyptic number.

142972416 is a gapful number since it is divisible by the number (16) 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 142972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

142972416 is an abundant number, since it is smaller than the sum of its proper divisors (316641024).

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

142972416 is a wasteful number, since it uses less digits than its factorization.

142972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 142972416 is about 11957.1073424972. The cubic root of 142972416 is about 522.8985273292.

The spelling of 142972416 in words is "one hundred forty-two million, nine hundred seventy-two thousand, four hundred sixteen".