146397525120 has 1024 divisors, whose sum is σ = 660466483200. Its totient is φ = 29760307200.

The previous prime is 146397525103. The next prime is 146397525121. The reversal of 146397525120 is 21525793641.

146397525120 is a `hidden beast` number, since 1 + 4 + 6 + 397 + 5 + 251 + 2 + 0 = 666.

It is a super-2 number, since 2×146397525120² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (146397525121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62535150 + ... + 62537490.

It is an arithmetic number, because the mean of its divisors is an integer number (644986800).

Almost surely, 2^146397525120 is an apocalyptic number.

146397525120 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 146397525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330233241600).

146397525120 is an abundant number, since it is smaller than the sum of its proper divisors (514068958080).

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

146397525120 is a wasteful number, since it uses less digits than its factorization.

146397525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 146397525120 in words is "one hundred forty-six billion, three hundred ninety-seven million, five hundred twenty-five thousand, one hundred twenty".