150104678400 has 1008 divisors, whose sum is σ = 578048859648. Its totient is φ = 37158912000.

The previous prime is 150104678393. The next prime is 150104678407. The reversal of 150104678400 is 4876401051.

It is a happy number.

150104678400 is a `hidden beast` number, since 1 + 501 + 0 + 46 + 78 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (150104678393) and next prime (150104678407).

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

It is not an unprimeable number, because it can be changed into a prime (150104678407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2114150365 + ... + 2114150435.

Almost surely, 2^150104678400 is an apocalyptic number.

150104678400 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 150104678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289024429824).

150104678400 is an abundant number, since it is smaller than the sum of its proper divisors (427944181248).

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

150104678400 is a wasteful number, since it uses less digits than its factorization.

150104678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 150104678400 in words is "one hundred fifty billion, one hundred four million, six hundred seventy-eight thousand, four hundred".