151240051130400 has 288 divisors, whose sum is σ = 547419409790400. Its totient is φ = 40298639155200.

The previous prime is 151240051130381. The next prime is 151240051130411. The reversal of 151240051130400 is 4031150042151.

151240051130400 is a `hidden beast` number, since 1 + 5 + 1 + 240 + 0 + 5 + 1 + 13 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24413680 + ... + 29975120.

It is an arithmetic number, because the mean of its divisors is an integer number (1900761839550).

Almost surely, 2^{151240051130400} is an apocalyptic number.

151240051130400 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 151240051130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273709704895200).

151240051130400 is an abundant number, since it is smaller than the sum of its proper divisors (396179358660000).

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

151240051130400 is a wasteful number, since it uses less digits than its factorization.

151240051130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562729 (or 5562710 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 151240051130400 in words is "one hundred fifty-one trillion, two hundred forty billion, fifty-one million, one hundred thirty thousand, four hundred".