146125965081600 has 2112 divisors, whose sum is σ = 650436483686400. Its totient is φ = 31382930718720.

The previous prime is 146125965081553. The next prime is 146125965081647. The reversal of 146125965081600 is 6180569521641.

It is a happy number.

146125965081600 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 25 + 9 + 6 + 5 + 0 + 8 + 1 + 600 = 666.

146125965081600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146125965081553) and next prime (146125965081647).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68187570129 + ... + 68187572271.

Almost surely, 2^{146125965081600} is an apocalyptic number.

146125965081600 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 146125965081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325218241843200).

146125965081600 is an abundant number, since it is smaller than the sum of its proper divisors (504310518604800).

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

146125965081600 is a wasteful number, since it uses less digits than its factorization.

146125965081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 146125965081600 in words is "one hundred forty-six trillion, one hundred twenty-five billion, nine hundred sixty-five million, eighty-one thousand, six hundred".