153242012000 has 1152 divisors, whose sum is σ = 524182119552. Its totient is φ = 43352064000.

The previous prime is 153242011973. The next prime is 153242012039. The reversal of 153242012000 is 210242351.

It is a super-2 number, since 2×153242012000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1356123944 + ... + 1356124056.

It is an arithmetic number, because the mean of its divisors is an integer number (455019201).

Almost surely, 2^153242012000 is an apocalyptic number.

153242012000 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 153242012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262091059776).

153242012000 is an abundant number, since it is smaller than the sum of its proper divisors (370940107552).

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

153242012000 is a wasteful number, since it uses less digits than its factorization.

153242012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 153242012000 its reverse (210242351), we get a palindrome (153452254351).

The spelling of 153242012000 in words is "one hundred fifty-three billion, two hundred forty-two million, twelve thousand".