151554500442400 has 288 divisors, whose sum is σ = 414005069479680. Its totient is φ = 53702587392000.

The previous prime is 151554500442337. The next prime is 151554500442413. The reversal of 151554500442400 is 4244005455151.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93914340 + ... + 95514460.

It is an arithmetic number, because the mean of its divisors is an integer number (1437517602360).

Almost surely, 2^{151554500442400} is an apocalyptic number.

151554500442400 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 151554500442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207002534739840).

151554500442400 is an abundant number, since it is smaller than the sum of its proper divisors (262450569037280).

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

151554500442400 is a wasteful number, since it uses less digits than its factorization.

151554500442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600428 (or 1600415 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

Adding to 151554500442400 its reverse (4244005455151), we get a palindrome (155798505897551).

The spelling of 151554500442400 in words is "one hundred fifty-one trillion, five hundred fifty-four billion, five hundred million, four hundred forty-two thousand, four hundred".