146161497600 has 480 divisors, whose sum is σ = 564745104000. Its totient is φ = 36923351040.

The previous prime is 146161497577. The next prime is 146161497649. The reversal of 146161497600 is 6794161641.

146161497600 is a `hidden beast` number, since 1 + 46 + 1 + 61 + 497 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6555271 + ... + 6577529.

It is an arithmetic number, because the mean of its divisors is an integer number (1176552300).

Almost surely, 2^146161497600 is an apocalyptic number.

146161497600 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 146161497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282372552000).

146161497600 is an abundant number, since it is smaller than the sum of its proper divisors (418583606400).

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

146161497600 is a wasteful number, since it uses less digits than its factorization.

146161497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22315 (or 22288 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 146161497600 in words is "one hundred forty-six billion, one hundred sixty-one million, four hundred ninety-seven thousand, six hundred".