145826956800 has 1200 divisors, whose sum is σ = 627716466432. Its totient is φ = 32746291200.

The previous prime is 145826956799. The next prime is 145826956813. The reversal of 145826956800 is 8659628541.

145826956800 is a `hidden beast` number, since 1 + 4 + 58 + 26 + 9 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 515289459 + ... + 515289741.

Almost surely, 2^145826956800 is an apocalyptic number.

145826956800 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 145826956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313858233216).

145826956800 is an abundant number, since it is smaller than the sum of its proper divisors (481889509632).

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

145826956800 is an equidigital number, since it uses as much as digits as its factorization.

145826956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 145826956800 in words is "one hundred forty-five billion, eight hundred twenty-six million, nine hundred fifty-six thousand, eight hundred".