149796337152 has 640 divisors, whose sum is σ = 529474682880. Its totient is φ = 36479139840.

The previous prime is 149796337147. The next prime is 149796337153. The reversal of 149796337152 is 251733697941.

It is a super-2 number, since 2×149796337152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149796337092 and 149796337101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149796337153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144173049 + ... + 144174087.

It is an arithmetic number, because the mean of its divisors is an integer number (827304192).

Almost surely, 2^149796337152 is an apocalyptic number.

149796337152 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 149796337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264737341440).

149796337152 is an abundant number, since it is smaller than the sum of its proper divisors (379678345728).

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

149796337152 is a wasteful number, since it uses less digits than its factorization.

149796337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 57.

The spelling of 149796337152 in words is "one hundred forty-nine billion, seven hundred ninety-six million, three hundred thirty-seven thousand, one hundred fifty-two".