145526216000 has 448 divisors, whose sum is σ = 403746370560. Its totient is φ = 51946752000.

The previous prime is 145526215993. The next prime is 145526216039. The reversal of 145526216000 is 612625541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841191914 + ... + 841192086.

Almost surely, 2^145526216000 is an apocalyptic number.

145526216000 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 145526216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201873185280).

145526216000 is an abundant number, since it is smaller than the sum of its proper divisors (258220154560).

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

145526216000 is an equidigital number, since it uses as much as digits as its factorization.

145526216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 145526216000 in words is "one hundred forty-five billion, five hundred twenty-six million, two hundred sixteen thousand".