165130176442000 has 1920 divisors, whose sum is σ = 540796586803200. Its totient is φ = 47592230400000.

The previous prime is 165130176441991. The next prime is 165130176442013. The reversal of 165130176442000 is 244671031561.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 256812093679 + ... + 256812094321.

It is an arithmetic number, because the mean of its divisors is an integer number (281664888960).

Almost surely, 2^{165130176442000} is an apocalyptic number.

165130176442000 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 165130176442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270398293401600).

165130176442000 is an abundant number, since it is smaller than the sum of its proper divisors (375666410361200).

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

165130176442000 is a wasteful number, since it uses less digits than its factorization.

165130176442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 165130176442000 in words is "one hundred sixty-five trillion, one hundred thirty billion, one hundred seventy-six million, four hundred forty-two thousand".