151054510400 has 84 divisors (see below), whose sum is σ = 371876799552. Its totient is φ = 60391196160.

The previous prime is 151054510357. The next prime is 151054510403. The reversal of 151054510400 is 4015450151.

It is a super-3 number, since 3×151054510400³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 151054510400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151054510403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3277919 + ... + 3323681.

Almost surely, 2^151054510400 is an apocalyptic number.

151054510400 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 151054510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185938399776).

151054510400 is an abundant number, since it is smaller than the sum of its proper divisors (220822289152).

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

151054510400 is a wasteful number, since it uses less digits than its factorization.

151054510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47848 (or 47833 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 151054510400 its reverse (4015450151), we get a palindrome (155069960551).

The spelling of 151054510400 in words is "one hundred fifty-one billion, fifty-four million, five hundred ten thousand, four hundred".