145516395640 has 288 divisors, whose sum is σ = 420410723040. Its totient is φ = 45163937280.

The previous prime is 145516395637. The next prime is 145516395667. The reversal of 145516395640 is 46593615541.

It is a super-2 number, since 2×145516395640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62371914 + ... + 62374246.

It is an arithmetic number, because the mean of its divisors is an integer number (1459759455).

Almost surely, 2^145516395640 is an apocalyptic number.

145516395640 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 145516395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210205361520).

145516395640 is an abundant number, since it is smaller than the sum of its proper divisors (274894327400).

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

145516395640 is a wasteful number, since it uses less digits than its factorization.

145516395640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 145516395640 in words is "one hundred forty-five billion, five hundred sixteen million, three hundred ninety-five thousand, six hundred forty".