145436262161520 has 320 divisors, whose sum is σ = 492677217068544. Its totient is φ = 35197212610560.

The previous prime is 145436262161507. The next prime is 145436262161537. The reversal of 145436262161520 is 25161262634541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 145436262161520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13016754654 + ... + 13016765826.

Almost surely, 2^{145436262161520} is an apocalyptic number.

145436262161520 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 145436262161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246338608534272).

145436262161520 is an abundant number, since it is smaller than the sum of its proper divisors (347240954907024).

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

145436262161520 is a wasteful number, since it uses less digits than its factorization.

145436262161520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19160 (or 19154 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 145436262161520 in words is "one hundred forty-five trillion, four hundred thirty-six billion, two hundred sixty-two million, one hundred sixty-one thousand, five hundred twenty".