145341689040 has 800 divisors, whose sum is σ = 556987850496. Its totient is φ = 34975825920.

The previous prime is 145341689027. The next prime is 145341689041. The reversal of 145341689040 is 40986143541.

145341689040 is a `hidden beast` number, since 14 + 534 + 1 + 68 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×145341689040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145341689041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 288949429 + ... + 288949931.

Almost surely, 2^145341689040 is an apocalyptic number.

145341689040 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 145341689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278493925248).

145341689040 is an abundant number, since it is smaller than the sum of its proper divisors (411646161456).

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

145341689040 is a wasteful number, since it uses less digits than its factorization.

145341689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 145341689040 in words is "one hundred forty-five billion, three hundred forty-one million, six hundred eighty-nine thousand, forty".