145034699040 has 1920 divisors, whose sum is σ = 682864680960. Its totient is φ = 28101427200.

The previous prime is 145034699023. The next prime is 145034699041. The reversal of 145034699040 is 40996430541.

145034699040 is a `hidden beast` number, since 14 + 50 + 3 + 469 + 90 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (145034699041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1629603316 + ... + 1629603404.

It is an arithmetic number, because the mean of its divisors is an integer number (355658688).

Almost surely, 2^145034699040 is an apocalyptic number.

145034699040 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 145034699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341432340480).

145034699040 is an abundant number, since it is smaller than the sum of its proper divisors (537829981920).

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

145034699040 is a wasteful number, since it uses less digits than its factorization.

145034699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 145034699040 in words is "one hundred forty-five billion, thirty-four million, six hundred ninety-nine thousand, forty".