145938240000 has 1600 divisors, whose sum is σ = 654510489600. Its totient is φ = 31352832000.

The previous prime is 145938239977. The next prime is 145938240011. The reversal of 145938240000 is 42839541.

145938240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-3 number, since 3×145938240000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1149119937 + ... + 1149120063.

It is an arithmetic number, because the mean of its divisors is an integer number (409069056).

Almost surely, 2^145938240000 is an apocalyptic number.

145938240000 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 145938240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327255244800).

145938240000 is an abundant number, since it is smaller than the sum of its proper divisors (508572249600).

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

145938240000 is an equidigital number, since it uses as much as digits as its factorization.

145938240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 145938240000 in words is "one hundred forty-five billion, nine hundred thirty-eight million, two hundred forty thousand".