154052400672 has 324 divisors, whose sum is σ = 483506302734. Its totient is φ = 46516377600.

The previous prime is 154052400643. The next prime is 154052400673. The reversal of 154052400672 is 276004250451.

It is a happy number.

154052400672 is a `hidden beast` number, since 1 + 5 + 405 + 240 + 0 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130925290896 + 23127109776 = 361836^2 + 152076^2 .

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 (154052400673) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54997672 + ... + 55000472.

Almost surely, 2^154052400672 is an apocalyptic number.

154052400672 is a gapful number since it is divisible by the number (12) 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 154052400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241753151367).

154052400672 is an abundant number, since it is smaller than the sum of its proper divisors (329453902062).

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

154052400672 is a wasteful number, since it uses less digits than its factorization.

154052400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 154052400672 in words is "one hundred fifty-four billion, fifty-two million, four hundred thousand, six hundred seventy-two".