154713920400 has 420 divisors, whose sum is σ = 600178930708. Its totient is φ = 38082493440.

The previous prime is 154713920363. The next prime is 154713920401. The reversal of 154713920400 is 4029317451.

154713920400 is a `hidden beast` number, since 154 + 7 + 13 + 92 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 255488256 + 154458432144 = 15984^2 + 393012^2 .

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 (154713920401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3770394 + ... + 3811206.

Almost surely, 2^154713920400 is an apocalyptic number.

154713920400 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 154713920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300089465354).

154713920400 is an abundant number, since it is smaller than the sum of its proper divisors (445465010308).

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

154713920400 is a wasteful number, since it uses less digits than its factorization.

154713920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40862 (or 40836 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 154713920400 in words is "one hundred fifty-four billion, seven hundred thirteen million, nine hundred twenty thousand, four hundred".