153121452312000 has 224 divisors, whose sum is σ = 505624429440000. Its totient is φ = 40830982579200.

The previous prime is 153121452311983. The next prime is 153121452312019. The reversal of 153121452312000 is 213254121351.

It is a happy number.

It is a super-3 number, since 3×153121452312000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827595501 + ... + 827780499.

Almost surely, 2^{153121452312000} is an apocalyptic number.

153121452312000 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 153121452312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252812214720000).

153121452312000 is an abundant number, since it is smaller than the sum of its proper divisors (352502977128000).

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

153121452312000 is a wasteful number, since it uses less digits than its factorization.

153121452312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219516 (or 219496 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 153121452312000 in words is "one hundred fifty-three trillion, one hundred twenty-one billion, four hundred fifty-two million, three hundred twelve thousand".