161750400 has 384 divisors, whose sum is σ = 637459200. Its totient is φ = 35266560.

The previous prime is 161750339. The next prime is 161750411. The reversal of 161750400 is 4057161.

161750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948759 + ... + 1948841.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^161750400 is an apocalyptic number.

161750400 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 161750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

161750400 is an abundant number, since it is smaller than the sum of its proper divisors (475708800).

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

161750400 is a wasteful number, since it uses less digits than its factorization.

161750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 161750400 is about 12718.1130675899. The cubic root of 161750400 is about 544.8560627660.

The spelling of 161750400 in words is "one hundred sixty-one million, seven hundred fifty thousand, four hundred".