145116426240 has 624 divisors, whose sum is σ = 526247504640. Its totient is φ = 36946575360.

The previous prime is 145116426223. The next prime is 145116426241. The reversal of 145116426240 is 42624611541.

145116426240 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 1 + 642 + 6 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145116426195 and 145116426204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145116426241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622817164 + ... + 622817396.

It is an arithmetic number, because the mean of its divisors is an integer number (843345360).

Almost surely, 2^145116426240 is an apocalyptic number.

145116426240 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 145116426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263123752320).

145116426240 is an abundant number, since it is smaller than the sum of its proper divisors (381131078400).

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

145116426240 is a wasteful number, since it uses less digits than its factorization.

145116426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145116426240 in words is "one hundred forty-five billion, one hundred sixteen million, four hundred twenty-six thousand, two hundred forty".