153149040 has 240 divisors, whose sum is σ = 572079456. Its totient is φ = 36403200.

The previous prime is 153149023. The next prime is 153149057. The reversal of 153149040 is 40941351.

153149040 is a `hidden beast` number, since 1 + 531 + 4 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (153149023) and next prime (153149057).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 153148995 and 153149013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482962 + ... + 483278.

Almost surely, 2^153149040 is an apocalyptic number.

153149040 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 153149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286039728).

153149040 is an abundant number, since it is smaller than the sum of its proper divisors (418930416).

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

153149040 is a wasteful number, since it uses less digits than its factorization.

153149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153149040 is about 12375.3399953294. The cubic root of 153149040 is about 535.0217360954.

The spelling of 153149040 in words is "one hundred fifty-three million, one hundred forty-nine thousand, forty".