151405862400 has 1440 divisors, whose sum is σ = 652440428640. Its totient is φ = 33124515840.

The previous prime is 151405862371. The next prime is 151405862401. The reversal of 151405862400 is 4268504151.

It is a happy number.

151405862400 is a `hidden beast` number, since 1 + 5 + 1 + 405 + 8 + 6 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151405862401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 483724644 + ... + 483724956.

It is an arithmetic number, because the mean of its divisors is an integer number (453083631).

Almost surely, 2^151405862400 is an apocalyptic number.

151405862400 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 151405862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326220214320).

151405862400 is an abundant number, since it is smaller than the sum of its proper divisors (501034566240).

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

151405862400 is a wasteful number, since it uses less digits than its factorization.

151405862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 151405862400 in words is "one hundred fifty-one billion, four hundred five million, eight hundred sixty-two thousand, four hundred".