145151614363520 has 256 divisors, whose sum is σ = 351370467000000. Its totient is φ = 57335446044672.

The previous prime is 145151614363499. The next prime is 145151614363589. The reversal of 145151614363520 is 25363416151541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11548375796 + ... + 11548388364.

Almost surely, 2^{145151614363520} is an apocalyptic number.

145151614363520 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 145151614363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175685233500000).

145151614363520 is an abundant number, since it is smaller than the sum of its proper divisors (206218852636480).

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

145151614363520 is a wasteful number, since it uses less digits than its factorization.

145151614363520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 145151614363520 in words is "one hundred forty-five trillion, one hundred fifty-one billion, six hundred fourteen million, three hundred sixty-three thousand, five hundred twenty".