145715521536 has 576 divisors, whose sum is σ = 476794805760. Its totient is φ = 44192563200.

The previous prime is 145715521531. The next prime is 145715521541. The reversal of 145715521536 is 635125517541.

145715521536 is a `hidden beast` number, since 1 + 4 + 5 + 71 + 5 + 521 + 53 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (145715521531) and next prime (145715521541).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 145715521491 and 145715521500.

It is not an unprimeable number, because it can be changed into a prime (145715521531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653432721 + ... + 653432943.

It is an arithmetic number, because the mean of its divisors is an integer number (827768760).

Almost surely, 2^145715521536 is an apocalyptic number.

145715521536 is a gapful number since it is divisible by the number (16) 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 145715521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238397402880).

145715521536 is an abundant number, since it is smaller than the sum of its proper divisors (331079284224).

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

145715521536 is a wasteful number, since it uses less digits than its factorization.

145715521536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The spelling of 145715521536 in words is "one hundred forty-five billion, seven hundred fifteen million, five hundred twenty-one thousand, five hundred thirty-six".