142147316161620 has 576 divisors, whose sum is σ = 556171533066240. Its totient is φ = 28515550694400.

The previous prime is 142147316161559. The next prime is 142147316161621. The reversal of 142147316161620 is 26161613741241.

142147316161620 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 4 + 7 + 3 + 1 + 6 + 1 + 616 + 20 = 666.

It is a super-2 number, since 2×142147316161620² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142147316161621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7469241505 + ... + 7469260535.

It is an arithmetic number, because the mean of its divisors is an integer number (965575578240).

Almost surely, 2^{142147316161620} is an apocalyptic number.

142147316161620 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 142147316161620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278085766533120).

142147316161620 is an abundant number, since it is smaller than the sum of its proper divisors (414024216904620).

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

142147316161620 is a wasteful number, since it uses less digits than its factorization.

142147316161620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37676 (or 37671 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 142147316161620 in words is "one hundred forty-two trillion, one hundred forty-seven billion, three hundred sixteen million, one hundred sixty-one thousand, six hundred twenty".