145459488000 has 288 divisors, whose sum is σ = 485734459392. Its totient is φ = 38581248000.

The previous prime is 145459487951. The next prime is 145459488049. The reversal of 145459488000 is 884954541.

It is an interprime number because it is at equal distance from previous prime (145459487951) and next prime (145459488049).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18332034 + ... + 18339966.

It is an arithmetic number, because the mean of its divisors is an integer number (1686577984).

Almost surely, 2^145459488000 is an apocalyptic number.

145459488000 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 145459488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242867229696).

145459488000 is an abundant number, since it is smaller than the sum of its proper divisors (340274971392).

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

145459488000 is an equidigital number, since it uses as much as digits as its factorization.

145459488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 145459488000 in words is "one hundred forty-five billion, four hundred fifty-nine million, four hundred eighty-eight thousand".