153157248000 has 264 divisors, whose sum is σ = 551917462200. Its totient is φ = 40841625600.

The previous prime is 153157247983. The next prime is 153157248007. The reversal of 153157248000 is 842751351.

153157248000 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 572 + 4 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3406823424 + 149750424576 = 58368^2 + 386976^2 .

It is a super-2 number, since 2×153157248000² (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 not an unprimeable number, because it can be changed into a prime (153157248007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085526 + ... + 1218474.

Almost surely, 2^153157248000 is an apocalyptic number.

153157248000 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 153157248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275958731100).

153157248000 is an abundant number, since it is smaller than the sum of its proper divisors (398760214200).

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

153157248000 is a wasteful number, since it uses less digits than its factorization.

153157248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132990 (or 132959 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 153157248000 its reverse (842751351), we get a palindrome (153999999351).

The spelling of 153157248000 in words is "one hundred fifty-three billion, one hundred fifty-seven million, two hundred forty-eight thousand".