146117664 has 216 divisors, whose sum is σ = 522849600. Its totient is φ = 37889280.

The previous prime is 146117627. The next prime is 146117681. The reversal of 146117664 is 466711641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243637 + ... + 244235.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2^146117664 is an apocalyptic number.

146117664 is a gapful number since it is divisible by the number (14) 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 146117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

146117664 is an abundant number, since it is smaller than the sum of its proper divisors (376731936).

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

146117664 is a wasteful number, since it uses less digits than its factorization.

146117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 622 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 146117664 is about 12087.9139639559. The cubic root of 146117664 is about 526.7051605328.

The spelling of 146117664 in words is "one hundred forty-six million, one hundred seventeen thousand, six hundred sixty-four".