145346952874608 has 180 divisors, whose sum is σ = 419932401364840. Its totient is φ = 46927238353920.

The previous prime is 145346952874589. The next prime is 145346952874657. The reversal of 145346952874608 is 806478259643541.

145346952874608 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 6 + 9 + 5 + 2 + 8 + 7 + 4 + 608 = 666.

It is a super-2 number, since 2×145346952874608² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31487010 + ... + 35806782.

It is a 1-persistent number, because it is pandigital, but 2⋅145346952874608 = 290693905749216 is not.

Almost surely, 2^{145346952874608} is an apocalyptic number.

145346952874608 is a gapful number since it is divisible by the number (18) 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 145346952874608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209966200682420).

145346952874608 is an abundant number, since it is smaller than the sum of its proper divisors (274585448490232).

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

145346952874608 is a wasteful number, since it uses less digits than its factorization.

145346952874608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320008 (or 4319958 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 145346952874608 in words is "one hundred forty-five trillion, three hundred forty-six billion, nine hundred fifty-two million, eight hundred seventy-four thousand, six hundred eight".