362142144 has 448 divisors, whose sum is σ = 1365504000. Its totient is φ = 93477888.

The previous prime is 362142133. The next prime is 362142149. The reversal of 362142144 is 441241263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×362142144² = 262293864921833472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4608) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362142149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7705129 + ... + 7705175.

It is an arithmetic number, because the mean of its divisors is an integer number (3048000).

Almost surely, 2^362142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682752000).

362142144 is an abundant number, since it is smaller than the sum of its proper divisors (1003361856).

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

362142144 is a wasteful number, since it uses less digits than its factorization.

362142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 362142144 is about 19030.0326852058. The cubic root of 362142144 is about 712.7868673112.

The spelling of 362142144 in words is "three hundred sixty-two million, one hundred forty-two thousand, one hundred forty-four".