153212400000 has 1152 divisors, whose sum is σ = 620901197280. Its totient is φ = 35942400000.

The previous prime is 153212399969. The next prime is 153212400037. The reversal of 153212400000 is 4212351.

153212400000 is a `hidden beast` number, since 1 + 53 + 212 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2098799964 + ... + 2098800036.

Almost surely, 2^153212400000 is an apocalyptic number.

153212400000 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 153212400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310450598640).

153212400000 is an abundant number, since it is smaller than the sum of its proper divisors (467688797280).

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

153212400000 is an equidigital number, since it uses as much as digits as its factorization.

153212400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 153212400000 its reverse (4212351), we get a palindrome (153216612351).

The spelling of 153212400000 in words is "one hundred fifty-three billion, two hundred twelve million, four hundred thousand".