153513557948040 has 256 divisors, whose sum is σ = 482724450823680. Its totient is φ = 38981127905280.

The previous prime is 153513557948033. The next prime is 153513557948081. The reversal of 153513557948040 is 40849755315351.

153513557948040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3589008094 + ... + 3589050866.

It is an arithmetic number, because the mean of its divisors is an integer number (1885642386030).

Almost surely, 2^{153513557948040} is an apocalyptic number.

153513557948040 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 153513557948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241362225411840).

153513557948040 is an abundant number, since it is smaller than the sum of its proper divisors (329210892875640).

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

153513557948040 is a wasteful number, since it uses less digits than its factorization.

153513557948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48624 (or 48620 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 60.

The spelling of 153513557948040 in words is "one hundred fifty-three trillion, five hundred thirteen billion, five hundred fifty-seven million, nine hundred forty-eight thousand, forty".