154294980840100 has 72 divisors (see below), whose sum is σ = 343893837463848. Its totient is φ = 60045653606400.

The previous prime is 154294980840023. The next prime is 154294980840109. The reversal of 154294980840100 is 1048089492451.

It can be written as a sum of positive squares in 12 ways, for example, as 3516817601124 + 150778163238976 = 1875318^2 + 12279176^2 .

It is a super-2 number, since 2×154294980840100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (154294980840109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50618934 + ... + 53580466.

It is an arithmetic number, because the mean of its divisors is an integer number (4776303298109).

Almost surely, 2^{154294980840100} is an apocalyptic number.

154294980840100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154294980840100 is an abundant number, since it is smaller than the sum of its proper divisors (189598856623748).

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

154294980840100 is a wasteful number, since it uses less digits than its factorization.

154294980840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975665 (or 2975658 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 154294980840100 in words is "one hundred fifty-four trillion, two hundred ninety-four billion, nine hundred eighty million, eight hundred forty thousand, one hundred".