145749295545912 has 320 divisors, whose sum is σ = 429835756212000. Its totient is φ = 45760046548032.

The previous prime is 145749295545907. The next prime is 145749295545977. The reversal of 145749295545912 is 219545592947541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145749295545912 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 4 + 9 + 2 + 9 + 554 + 59 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 145749295545912 = 6574³ + 52592³ = 29583³ + 49305³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 842481477058 + ... + 842481477230.

Almost surely, 2^{145749295545912} is an apocalyptic number.

145749295545912 is a gapful number since it is divisible by the number (12) 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 145749295545912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214917878106000).

145749295545912 is an abundant number, since it is smaller than the sum of its proper divisors (284086460666088).

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

145749295545912 is an frugal number, since it uses more digits than its factorization.

145749295545912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 197 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 72.

The spelling of 145749295545912 in words is "one hundred forty-five trillion, seven hundred forty-nine billion, two hundred ninety-five million, five hundred forty-five thousand, nine hundred twelve".