154630142233920 has 448 divisors, whose sum is σ = 563148078151680. Its totient is φ = 39900974284800.

The previous prime is 154630142233877. The next prime is 154630142233933. The reversal of 154630142233920 is 29332241036451.

154630142233920 is a `hidden beast` number, since 1 + 5 + 4 + 6 + 30 + 1 + 4 + 223 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353185760 + ... + 4353221280.

It is an arithmetic number, because the mean of its divisors is an integer number (1257026960160).

Almost surely, 2^{154630142233920} is an apocalyptic number.

154630142233920 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 154630142233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281574039075840).

154630142233920 is an abundant number, since it is smaller than the sum of its proper divisors (408517935917760).

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

154630142233920 is a wasteful number, since it uses less digits than its factorization.

154630142233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51831 (or 51815 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 154630142233920 in words is "one hundred fifty-four trillion, six hundred thirty billion, one hundred forty-two million, two hundred thirty-three thousand, nine hundred twenty".