153519000030 has 256 divisors, whose sum is σ = 471213849600. Its totient is φ = 35174891520.

The previous prime is 153518999971. The next prime is 153519000043. The reversal of 153519000030 is 30000915351.

It is a super-2 number, since 2×153519000030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153518999958 and 153519000003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25785534 + ... + 25791486.

It is an arithmetic number, because the mean of its divisors is an integer number (1840679100).

Almost surely, 2^153519000030 is an apocalyptic number.

153519000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153519000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235606924800).

153519000030 is an abundant number, since it is smaller than the sum of its proper divisors (317694849570).

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

153519000030 is a wasteful number, since it uses less digits than its factorization.

153519000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

Adding to 153519000030 its reverse (30000915351), we get a palindrome (183519915381).

The spelling of 153519000030 in words is "one hundred fifty-three billion, five hundred nineteen million, thirty", and thus it is an aban number.