145933271040 has 272 divisors, whose sum is σ = 483180134400. Its totient is φ = 37566283776.

The previous prime is 145933271017. The next prime is 145933271051. The reversal of 145933271040 is 40172339541.

It is a self number, because there is not a number n which added to its sum of digits gives 145933271040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28505601 + ... + 28510719.

Almost surely, 2^145933271040 is an apocalyptic number.

145933271040 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 145933271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241590067200).

145933271040 is an abundant number, since it is smaller than the sum of its proper divisors (337246863360).

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

145933271040 is an frugal number, since it uses more digits than its factorization.

145933271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 145933271040 in words is "one hundred forty-five billion, nine hundred thirty-three million, two hundred seventy-one thousand, forty".