154242101060352 has 432 divisors, whose sum is σ = 479952817344000. Its totient is φ = 47460843749376.

The previous prime is 154242101060291. The next prime is 154242101060363. The reversal of 154242101060352 is 253060101242451.

154242101060352 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 42 + 1 + 0 + 1 + 0 + 603 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014414349 + ... + 1014566387.

It is an arithmetic number, because the mean of its divisors is an integer number (1111001892000).

Almost surely, 2^{154242101060352} is an apocalyptic number.

154242101060352 is a gapful number since it is divisible by the number (12) 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 154242101060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239976408672000).

154242101060352 is an abundant number, since it is smaller than the sum of its proper divisors (325710716283648).

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

154242101060352 is a wasteful number, since it uses less digits than its factorization.

154242101060352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152576 (or 152559 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 154242101060352 in words is "one hundred fifty-four trillion, two hundred forty-two billion, one hundred one million, sixty thousand, three hundred fifty-two".