145351154304 has 96 divisors (see below), whose sum is σ = 418449519540. Its totient is φ = 48428789760.

The previous prime is 145351154287. The next prime is 145351154309. The reversal of 145351154304 is 403451153541.

145351154304 is a `hidden beast` number, since 1 + 4 + 535 + 115 + 4 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139367822400 + 5983331904 = 373320^2 + 77352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145351154304² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145351154309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2669884 + ... + 2723780.

Almost surely, 2^145351154304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145351154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209224759770).

145351154304 is an abundant number, since it is smaller than the sum of its proper divisors (273098365236).

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

145351154304 is a wasteful number, since it uses less digits than its factorization.

145351154304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56258 (or 56243 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 145351154304 in words is "one hundred forty-five billion, three hundred fifty-one million, one hundred fifty-four thousand, three hundred four".