152961907140 has 192 divisors, whose sum is σ = 545226232320. Its totient is φ = 34875187200.

The previous prime is 152961907121. The next prime is 152961907159. The reversal of 152961907140 is 41709169251.

152961907140 is a `hidden beast` number, since 1 + 5 + 29 + 619 + 0 + 7 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152961907121) and next prime (152961907159).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1465324 + ... + 1566236.

It is an arithmetic number, because the mean of its divisors is an integer number (2839719960).

Almost surely, 2^152961907140 is an apocalyptic number.

152961907140 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 152961907140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272613116160).

152961907140 is an abundant number, since it is smaller than the sum of its proper divisors (392264325180).

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

152961907140 is a wasteful number, since it uses less digits than its factorization.

152961907140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101339 (or 101331 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 152961907140 in words is "one hundred fifty-two billion, nine hundred sixty-one million, nine hundred seven thousand, one hundred forty".