166141920 has 192 divisors, whose sum is σ = 603542016. Its totient is φ = 37632000.

The previous prime is 166141883. The next prime is 166141931. The reversal of 166141920 is 29141661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661795 + ... + 662045.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2^166141920 is an apocalyptic number.

166141920 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 166141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301771008).

166141920 is an abundant number, since it is smaller than the sum of its proper divisors (437400096).

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

166141920 is a wasteful number, since it uses less digits than its factorization.

166141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 166141920 is about 12889.6051141996. The cubic root of 166141920 is about 549.7430425038.

The spelling of 166141920 in words is "one hundred sixty-six million, one hundred forty-one thousand, nine hundred twenty".