145405901520 has 160 divisors (see below), whose sum is σ = 546373779840. Its totient is φ = 35249909760.

The previous prime is 145405901519. The next prime is 145405901533. The reversal of 145405901520 is 25109504541.

145405901520 is a `hidden beast` number, since 1 + 4 + 5 + 40 + 5 + 90 + 1 + 520 = 666.

145405901520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145405901520² (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 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, 3036129 + ... + 3083648.

It is an arithmetic number, because the mean of its divisors is an integer number (3414836124).

Almost surely, 2^145405901520 is an apocalyptic number.

145405901520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145405901520 is an abundant number, since it is smaller than the sum of its proper divisors (400967878320).

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

145405901520 is a wasteful number, since it uses less digits than its factorization.

145405901520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119810 (or 6119798 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145405901520 in words is "one hundred forty-five billion, four hundred five million, nine hundred one thousand, five hundred twenty".