153540005200000 has 384 divisors, whose sum is σ = 400623983424000. Its totient is φ = 58499105280000.

The previous prime is 153540005199979. The next prime is 153540005200003. The reversal of 153540005200000 is 2500045351.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (153540005200003) 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, 2198765086 + ... + 2198834914.

It is an arithmetic number, because the mean of its divisors is an integer number (1043291623500).

Almost surely, 2^{153540005200000} is an apocalyptic number.

153540005200000 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 153540005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200311991712000).

153540005200000 is an abundant number, since it is smaller than the sum of its proper divisors (247083978224000).

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

153540005200000 is an frugal number, since it uses more digits than its factorization.

153540005200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70130 (or 70098 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 153540005200000 its reverse (2500045351), we get a palindrome (153542505245351).

The spelling of 153540005200000 in words is "one hundred fifty-three trillion, five hundred forty billion, five million, two hundred thousand".